TWO-STAGE BLOCK SYNCHRONIZATION AND SCRAMBLING

Abstract

A two-stage block synchronization and scrambling module includes a synchronization PRNG module, a scramble PRNG module, a summing module, and a storage module. The synchronization PRNG module is clocked once per N+1 bit PCS frame (N arbitrary) to produce a synchronization bit and a pseudo-random starting state for the scramble PRNG. The scramble PRNG module is clocked N times per PCS frame to produce a cipher stream starting with a pseudo-random state from the synchronization PRNG. The summing module is operably coupled to sum the cipher stream and a PCS frame payload to produce scrambled payload. The storage module is operably coupled to store the scrambled payload with the synchronization bit. Synchronization bits from successive frames are a running bit-serial representation of the synchronization PRNG state and are used by the receiver to synchronize with the transmit scrambler.

Description

CROSS REFERENCE TO PRIORITY APPLICATIONS

The present U.S. Utility Patent Application claims priority pursuant to 35 U.S.C. §120, as a continuation, to the following U.S. Utility Patent Application which is hereby incorporated herein by reference in its entirety and made part of the present U.S. Utility Patent Application for all purposes:

1. U.S. Utility application Ser. No. 11/255,698, entitled, “Two-Stage Block Synchronization and Scrambling” (Attorney Docket No. BP4242), filed Oct. 21, 2005, pending, which claims priority pursuant to 35 U.S.C §119(e) to the following U.S. Provisional Patent Application which is hereby incorporated herein by reference in its entirety and made part of the present U.S. Utility Patent Application for all purposes:

• • a. U.S. Provisional Application Ser. No. 60/624,557, entitled, “Two-Stage Block Synchronization and Scrambling” (Attorney Docket No. BP4242), filed Nov. 3, 2004.

BACKGROUND OF THE INVENTION

1. Technical Field of the Invention

This invention relates generally to data communications and more particularly to synchronization and scrambling of frames of Ethernet data communications.

2. Description of Related Art

As is known, Ethernet is a standard that defines data conveyance protocols for data transmissions and has multiple variations thereof depending on desired data rates and transmission mediums. For example, Ethernet standards include 10 BASE-T (10 megabit-per-second (Mbps) data rate over a twisted pair), 10 BASE-F (10 Mbps over a fiber optic cable), 100 BASE-TX (100 Mbps over twisted pairs), 100 BASE-FX (100 Mbps over a fiber optic cable), 1000 BASE-T (1 gigabit-per-second (Gbps) over twisted pairs), 1000 BASE-X (1 Gbps over fiber optic cables), and 10GBase-T (10 Gbps over twisted pairs).

As is also known, an Ethernet protocol is often used in a wired local area network (LAN), which typically has a star topology, ring topology, bus topology or hub/tree topology. A star topology LAN typically includes a private automatic branch exchange (PABX) and/or a private digital exchange (PDX) to switch voice and/or data between end user devices and/or data terminal equipment (DTE). A ring topology LAN passes cable access from one user to another until the users are interconnected in a loop or ring. A bus topology LAN typically employs one of the Ethernet protocols to convey data within the network. A hub technology LAN is essentially a bus or ring topology with the wiring to a central unit.

Regardless of the LAN topology, transmitted data must be randomized for proper timing recovery and synchronization. Data randomization is typically accomplished by adding digitally generated pseudo-random sequences to the data—a process known as scrambling. The pseudo-random sequences repeat after a large number of clock cycles and can either be of self-synchronizing or cipher-stream type. Self-synchronizing scramblers have the well known disadvantage of error propagation. Cypher-stream scramblers require a synchronization scheme and, in frame (or block) based transmission, must be synchronized with frame boundaries. If the frame length is not equal to the repeat length of the pseudo-random sequence, degradation of the sequence statistics can occur. This can lead to loss in performance and other undesirable properties.

Therefore, a need exists for a method and apparatus which permits cipher-stream scrambling to be used in frame based data transmission systems with a method for synchronization and a method for maintaining the desired random properties of the scrambling sequence.

BRIEF SUMMARY OF THE INVENTION

The present invention is directed to apparatus and methods of operation that are further described in the following Brief Description of the Drawings, the Detailed Description of the Invention, and the claims. Other features and advantages of the present invention will become apparent from the following detailed description of the invention made with reference to the accompanying drawings.

BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS

FIG. 1 is a schematic block diagram of a portion of a local area network in accordance with the present invention;

FIG. 2 is a schematic block diagram of a portion of another local area network in accordance with the present invention;

FIG. 3 is a schematic block diagram of a transceiving module in accordance with the present invention;

FIG. 4 is a schematic block diagram of a synchronization and scramble module in accordance with the present invention;

FIG. 5 is a schematic block diagram of a synchronization and descramble module in accordance with the present invention;

FIG. 6 is a schematic block diagram of another embodiment of a synchronization and scramble module in accordance with the present invention; and

FIG. 7 is a schematic block diagram of yet another embodiment of a synchronization and scramble module in accordance with the present invention.

DETAILED DESCRIPTION OF THE INVENTION

In general, a two-stage block synchronization and scrambling module includes a synchronization PRNG module, a scramble PRNG module, a summing module, and a storage module. The synchronization PRNG module is clocked once per N+1 bit PCS frame (N arbitrary) to produce a synchronization bit and a pseudo-random starting state for the scramble PRNG. The scramble PRNG module is clocked N times per PCS frame to produce a cipher stream starting with a pseudo-random state from the synchronization PRNG. The summing module is operably coupled to sum the cipher stream and a PCS frame payload to produce scrambled payload. The storage module is operably coupled to store the scrambled payload with the synchronization bit. Synchronization bits from successive frames are a running bit-serial representation of the synchronization PRNG state and are used by the receiver to synchronize with the transmit scrambler.

FIG. 1 is a schematic block diagram of a portion of a local area network (LAN) that includes a first device 12, a second device 14, and a LAN connection 16. The LAN connection 16 provides local area network connectivity for the first and second devices 12 and 14 to a local area network. Such a local area network may be configured as a star topology, a ring topology, a bus topology or a hub/tree topology.

Each of the devices 12 and 14 may be a computer, a printer, a filer server, a web server, an email server, an application server, and/or any other type of server including terminal servers. Regardless of the particular construct of the devices 12 and 14, each device 12 and 14 includes a processing module 18, 28, memory 20, 30, and a transceiving module 22, 32. Each of the processing modules 18, 28 may be a single processing device or a plurality of processing devices. Such a processing device may be a microprocessor, micro-controller, digital signal processor, microcomputer, central processing unit, field programmable gate array, programmable logic device, state machine, logic circuitry, analog circuitry, digital circuitry, and/or any device that manipulates signals (analog and/or digital) based on operational instructions. The memory 20, 30 may be a single memory device or a plurality of memory devices. Such a memory device may be a read-only memory, random access memory, volatile memory, non-volatile memory, static memory, dynamic memory, flash memory, cache memory, and/or any device that stores digital information. Note that when the processing module 18, 28 implements one or more of its functions via a state machine, analog circuitry, digital circuitry, and/or logic circuitry, the memory storing the corresponding operational instructions may be embedded within, or external to, the circuitry comprising the state machine, analog circuitry, digital circuitry, and/or logic circuitry.

Each of the transceiving modules 22, 32 includes a transmit module 24, 34, and a receive module 26, 36. The transmit module 24, 34, which will be described in greater detail with reference to FIGS. 3, 4, 6 and 7, is operably coupled to transmit scrambled and synchronized frames on the LAN connection 16, where the scrambling and synchronization is in accordance with the present invention and the frame formatting is in accordance with one or more LAN standard or other proprietary scheme. For example, the frame formatting may be in accordance with IEEE P802.3 an (10GBASE-T), which prescribes a 10Gbps Ethernet operation over 4 wire twisted pair.

The receive module 26, 36, which will be described in greater detail with reference to FIGS. 3 and 5, is operably coupled to receive scrambled and synchronized frames on the LAN connection 16, where the scrambling and synchronization is in accordance with the present invention and the frame formatting is in accordance with one or more LAN standard or other proprietary scheme. Upon receiving the scrambled and synchronized frames, the receive module 26, 36 descrambles the frames to recover the original frames.

FIG. 2 is a schematic block diagram of a portion of another LAN that includes devices 12 and 14 coupled to a switch/router 25 via LAN connections 16. Such a LAN may be a data center that may be connected to other networks. Generally, a data center may be viewed as a cluster of relatively high powered and capable processors (i.e., the devices 12 and 14) that may include any one or more of a filer server, a web server, an email server, an application server, and/or any other type of server including terminal servers that are configured in a star type configuration to an Ethernet switch/router 25. The data center may be located in a region such as a building, a campus, or some other finite locale in which a number of networks interface and from which a number of end users are serviced. The Ethernet switch/router 25 may also be communicatively coupled to the Internet itself (via any appropriate firewall and Internet-adapted WAN (Wide Area Network) router), or any other WAN as well.

In such data centers, a common means of connectivity between devices is via hard cabling. The IEEE P802.3an (10GBASE-T) Task Force has been particularly commissioned to develop and standardize a copper 10 Giga-bit Ethernet standard that runs over 4 wire twisted pair cables. This is particularly appropriate for data center applications including the connectivity between end-devices (e.g., any of the servers depicted above and/or network authentication servers) and an Ethernet switch/router within the data center. Such interconnectivity requires very high speed operation for proper support of the traffic within and through the data center.

FIG. 3 is a schematic block diagram of a transceiving module 22, 32 that includes the transmit module 24, the receive module 26, and an optional splitter 45. In one embodiment, the transceiving module 22, 32 functions in a half duplex mode, where the splitter operably couples the transmit module 24 to the LAN connection 16 when the transceiving module 24, 34 is in a transmit mode and couples the receive module 26, 36 to the LAN connection 16 when the transceiving module 24, 34 is in a receive mode. In another embodiment, the transceiving module 22, 32 functions in a full duplex module such that the splitter is eliminated and the transmit module 24, 34 and the receive module 26, 36 are independently coupled to the LAN connection 16. For example, each coupling may include a twisted pair.

As is also shown, the transmit module 24 includes a synchronization and scramble module 40 and a PCS (physical coding sublayer) frame generating module 42. The PCS frame generating module 42 is operably coupled to generate PCS frame payloads from data it receives from the processing module of the associated device. The PCS frame generating module 42 may generate the PCS frame payload in accordance with one or more Ethernet protocols including, but not limited to, IEEE P802.3an (10GBASE-T).

The synchronization and scramble module 40 is operably coupled to scramble the PCS frame payload and to provide corresponding synchronization information to produce the scrambled and synchronized frames that are transmitted on the LAN connection 16. In one embodiment, the corresponding synchronization information is a synchronization bit generated per frame of the scrambled PCS frame payload. The synchronization and scramble module 40 will be described in greater detail with reference to FIGS. 4, 6 and 7.

The receive module 26, 36 includes a synchronization and descramble module 44 and a PCS frame recovery module 46. The synchronization and descramble module 44 is operably coupled to receive scrambled and synchronized frames and, based on the synchronization information, descramble the scrambled and synchronized frames to produce recovered frames. The PCS frame recovery module 46 receives the recovered frames and recovers original data therefrom in accordance with a standard to which the original frames were created. For example, the standard may be one or more versions of the Ethernet standard including, but not limited to, IEEE P802.3an (10GBASE-T).

FIG. 4 is a schematic block diagram of an embodiment of the synchronization and scramble module 40 that includes a synchronization pseudo random noise generator (PRNG) module 50, a scramble PRNG module 52, a summing module 54, and a storage module 56. The synchronization PRNG module 50 is clocked once per PCS frame to generate and insert a synchronization bit 58 per PCS frame. Synchronization bits from successive frames are a running bit-serial representation of the state of the synchronization PRNG in the transmitter. This enables verification of PCS frame synchronization and fly-wheel re-synchronization in the receive module 26, 36. In addition, the synchronization PRNG module 50 generates state information 60 to indicate at least an initial pseudo-random starting point of the pseudo random noise sequence.

The scramble PRNG module 52, which is clocked once for each bit (or symbol) in the PCS frame, generates a cipher-scrambling sequence (i.e., a cipher stream) 62 for use within PCS frames. The cipher-scrambling sequence may be modulo-2 added to a PCS payload.

The summing module 54 is operably coupled to sum a PCS (physical coding sublayer) frame payload 64 with the cipher stream 62 to produce a scrambled payload 66.

The storage module 56 is operably coupled to store the scrambled payload 66 in accordance with the synchronization bit 58. In the transmit mode, the synchronized and scrambled data frame is read from the storage module 56 and provided on the LAN connection 16. Note that storing and reading operations can proceed in parallel such that the entire PCS frame need not be physically stored.

FIG. 5 is a schematic block diagram of an embodiment of the synchronization and descramble module 44 that includes a recover synchronization PRNG module 70, a descramble PRNG module 72, a subtraction module 74, and a storage module 76. In general, the operation of the synchronization and descramble module 44 is the inverse of the operation of the synchronization and scramble module 40.

In operation, the synchronized and scrambled data frame received via the LAN connection 16 is stored in the storage module 76. The recover synchronization PRNG module 70 receives a resynchronization bit 78, which corresponds to the synchronization bit inserted into the PCS frame and is a running bit-serial representation of the state of transmitter synchronization PRNG 50. Based thereon, the receiver synchronization PRNG 70 can be synchronized with the transmitter PRNG 50 to generate state information 80. The descramble PRNG module 72 uses the state information 80 to produce a cipher-descrambling sequence (i.e., a decipher stream) 82 for interpreting the scrambled PCS frames. The cipher-descrambling sequence may be mod-2 added to a PCS payload and will correspond to the cipher-scrambling sequence produced by the scramble PRNG module 52.

The subtraction module 74 subtracts the decipher stream 82 from the scrambled payload 86 to produce recovered PCS frame payload 88. As one of ordinary skill in the art will appreciate, the summing module 54 and the subtraction module 74 may be more complex mathematical function elements. For example, the summing module 54 may perform an interleave function and the subtraction module 74 may perform the corresponding deinterleaving function. As a further example, the summing module 54 may function as an encoder where the PCS frame is encoded based on the cipher stream 62 and the subtraction module 74 may be a decoder decoding the scrambled payload based on the decipher stream 82 to recover a PCS frame. Further, the summing modules 54 and 74 may implement finite field arithmetic in the case of multi-bit scrambling schemes.

FIG. 6 is a schematic block diagram of an embodiment of the synchronization and scramble module 40 that includes a 1^st production module 90, a 2^nd production module 92, a combining module 94, and the storage module 56. In general, the synchronization and scramble module 40 may be used in any system in which information is transmitted in frames. For every frame, the synchronization and scramble module 40 conveys one synchronization bit 100, N payload bits 104 and other bits onto the LAN connection. The 1^st production module 90 produces a new synchronization bit 100 for each frame and thereby transitions to a new state. Further at the beginning of each frame, the 2^nd production module 92 is initialized with state bits 98 of theist production module 90. The 2^nd production module 92 is then clocked N times to produce N stream scrambling bits 102, which are combined with N payload bits 104 of the frame by the combining module to produce a scrambled frame 106. The storage module 56 stores the scramble module 56 for subsequent transmission on the LAN connection.

FIG. 7 is a schematic block diagram of an embodiment of the synchronization and scramble module 40 that includes a 1^st production module 90, a 2^nd production module 92, a combining module 94, and the storage module 56. In this embodiment, the 1^St production module 90 may be realized by a synchronization pseudo random number generator (PRNG) module 52, which may include a continuously operating Maximum Length Shift Register (MLSR) 110; the 2^nd production module 92 may be realized by a scramble PRNG module 52, which may include a continuously operating Maximum Length Shift Register (MLSR) 112; and the combining module 94 may include a modulo-2 adder 114.

In this embodiment, the Maximum-Length Shift Registers (MLSR) 110 and 112 have feedback connections that are determined by primitive polynomials of degree m₁ and m₂, respectively, where m₁ and m₂ may be identical. The continuously operating MLSR 110 and 112, with primitive-polynomial feedback of degree m, generates a pseudo random binary sequence with period length 2^m-1 comprising 2^m−1 ones and 2^m−1-1 zeros. The m state bits are the m preceding output bits, and within one period the m-tuple of state bits cycles through all 2^m-1 non-zero binary m-tuples.

The initialization of the Scramble PRNG 52 defines the starting point of the subsequence of N scrambling bits within the 2^m21-periodic sequence that would be produced in continuous operation. For given primitive polynomials, the transfer of state bits from the Synchronization PRNG 50 to the Scramble PRNG 52 should occur in a manner such that the subsequences of N scrambling bits start at pseudo-randomly distributed starting points. This can be accomplished in various ways. One possibility is to let the two primitive polynomials be identical with degree m, and reverse the order of the m state bits transferred from the Synchronization PRNG 50 to the Scramble PRNG 52. Then the Synchronization PRNG 50 generates a 2^m-1-periodic sequence, and the Scramble PRNG 52 produces subsequences of length N starting at pseudo-randomly distributed points within the same 2^m-1-periodic sequence. Since the state bits of the Synchronization PRNG 50 cycle through all 2^m-1 non-zero binary m-tuples, the length-N subsequences will start all 2^m-1 possible starting points. The m-bit state of the synchronization PRNG 50 is transmitted in a bit-serial manner, one bit per frame, as the synchronization bit 58,100.

A similar effect will be achieved by choosing two primitive polynomials of same degree m with time-reversed coefficients relative to each other, and not reversing (i.e., maintained) the order of the transferred m state bits. The list of choices may be continued, for example, with pairs of primitive polynomials of same degree and non-time reversed coefficients, or primitive polynomials of different degrees and various ways to transfer state bits.

As one of ordinary skill in the art will appreciate, the term “substantially” or “approximately”, as may be used herein, provides an industry-accepted tolerance to its corresponding term and/or relativity between items. Such an industry-accepted tolerance ranges from less than one percent to twenty percent and corresponds to, but is not limited to, component values, integrated circuit process variations, temperature variations, rise and fall times, and/or thermal noise. Such relativity between items ranges from a difference of a few percent to magnitude differences. As one of ordinary skill in the art will further appreciate, the term “operably coupled”, as may be used herein, includes direct coupling and indirect coupling via another component, element, circuit, or module where, for indirect coupling, the intervening component, element, circuit, or module does not modify the information of a signal but may adjust its current level, voltage level, and/or power level. As one of ordinary skill in the art will also appreciate, inferred coupling (i.e., where one element is coupled to another element by inference) includes direct and indirect coupling between two elements in the same manner as “operably coupled”. As one of ordinary skill in the art will further appreciate, the term “compares favorably”, as may be used herein, indicates that a comparison between two or more elements, items, signals, etc., provides a desired relationship. For example, when the desired relationship is that signal 1 has a greater magnitude than signal 2, a favorable comparison may be achieved when the magnitude of signal 1 is greater than that of signal 2 or when the magnitude of signal 2 is less than that of signal 1.

The preceding discussion has presented a method and apparatus for synchronizing and scrambling frames within an Ethernet-based network. As one of ordinary skill in the art will appreciate, other embodiments may be derived from the teachings of the present invention without deviating from the scope of the claims.

Claims

1. A method for execution by a receive module, comprising:

receiving, by the receive module, a frame via a transmission medium, the frame including a synchronization bit and a scrambled payload;

producing state bits from the synchronization bit and previously received synchronization bits in previously received frames by the receive module;

producing N stream descrambling bits based on the state bits for the frame by the receive module; and

combining the N stream descrambling bits with the scrambled payload of the frame to obtain N payload bits.

2. The method of claim 1, wherein the combining the N stream descrambling bits with the scrambled payload of the frame comprises:

modulo-2 adding the N stream descrambling bits with the scrambled payload of the frame to obtain the N payload bits.

3. The method of claim 1, wherein:

the producing the state bits for the frame is performed via a recover-synchronization Pseudo Random Number Generation process; and

the producing the N stream descrambling bits is performed via a descramble Pseudo Random Number Generation process that is initialized with the state bits and clocked N times per frame.

4. The method of claim 3, wherein the recover-synchronization Pseudo Random Number Generation process comprises:

performing a continuously operating Maximum-Length Shift Register (MLSR) function with primitive-polynomial feedback of degree m to produce a pseudo random binary sequence with period length 2m-1 that includes 2m−1 ones and 2m−1-1 zeros, wherein the state bits include m preceding output bits, and, within one period, m-tuple of the state bits cycles through 2m-1 non-zero binary m-tuples.

5. The method of claim 3, wherein the descramble Pseudo Random Number Generation process comprises:

performing a continuously operating Maximum-Length Shift Register (MLSR) function with primitive-polynomial feedback of degree m to produce a pseudo random binary sequence with period length 2m-1 that includes 2m−1 ones and 2m−1-1 zeros, wherein m state bits include m preceding output bits, and, within one period, m-tuple of them state bits cycles through 2m-1 non-zero binary m-tuples.

6. The method of claim 3, further comprising:

initializing the descramble Pseudo Random Number Generation process at a starting point of subsequence of the N scrambling bits within a 2m2-1-periodic sequence in accordance with a continuous operation, where, for given primitive polynomials, transfer of the state bits from the recover-synchronization Pseudo Random Number Generation process to the descramble Pseudo Random Number Generation process occurs in a manner such that the subsequences of the N descrambling bits start at pseudo-randomly distributed starting points, which include the starting point.

7. The method of claim 6, further comprising:

reversing order of the state bits transferred from the recover-synchronization Pseudo Random Number Generation process to the descramble Pseudo Random Number Generation process when the given primitive polynomials includes two primitive polynomials that are identical with degree m;

generating a 2m-1-periodic sequence by the recover-synchronization Pseudo Random Number Generation process; and

producing, by the descramble Pseudo Random Number Generation process, the subsequences of length N starting at pseudo-randomly distributed points within the 2m-1-periodic sequence, wherein the state bits produced via the recover-synchronization Pseudo Random Number Generation process cycle through 2m-1 non-zero binary m-tuples and length-N subsequences includes 2m-1 starting points.

8. The method of claim 6, further comprising:

maintaining order of transferring the state bits from the recover-synchronization Pseudo Random Number Generation process to the descramble Pseudo Random Number Generation process when the given primitive polynomials includes two primitive polynomials of same degree m with time-reversed coefficients relative to each of the two primitive polynomials.

9. The method of claim 1, further comprising:

utilizing a fly-wheel technique to recover the state bits reliably in the presence of transmission errors.

10. A receive module, comprising:

a synchronization and descramble module coupled to receive a frame including a synchronization bit and a scrambled payload, produce state bits from the synchronization bit and previously received synchronization bits from previously received frames, produce N stream descrambling bits based on the state bits for the frame by the receive module and combine the N stream descrambling bits with the scrambled payload of the frame to obtain N payload bits; and

a frame recovery module coupled to receive the N payload bits and recover the frame using the N payload bits.

11. The receive module of claim 10, wherein the synchronization and descramble module comprises:

a modulo-2 adder coupled to add the N stream descrambling bits with the scrambled payload of the frame.

12. The receive module of claim 10, wherein the synchronization and descramble module comprises:

a recover-synchronization Pseudo Random Number Generator (PRNG) for generating the state bits for the frame from the synchronization bit and the previously received synchronization bits; and

a descramble Pseudo Random Number Generator (PRNG), the descramble PRNG being initialized with the state bits and clocked N times per frame to generate the N stream descrambling bits.

13. The receive module of claim 12, wherein the recover-synchronization Pseudo Random Number Generator further comprises: a continuously operating Maximum-Length Shift Register (MLSR) with primitive-polynomial feedback of degree m to produce a pseudo random binary sequence with period length 2m-1 that includes 2m−1 ones and 2m−1-1 zeros, wherein the state bits include m preceding output bits, and, within one period, m-tuple of the state bits cycles through 2m-1 non-zero binary m-tuples.

14. The receive module of claim 12, wherein the descramble Pseudo Random Number Generator further comprises:

a continuously operating Maximum-Length Shift Register (MLSR) with primitive-polynomial feedback of degree m to produce a pseudo random binary sequence with period length 2m-1 that includes 2m−1 ones and 2m−1-1 zeros, wherein m state bits include m preceding output bits, and, within one period, m-tuple of the m state bits cycles through 2m-1 non-zero binary m-tuples.

15. The receive module of claim 12, wherein the descramble Pseudo Random Number Generator further functions to:

initialize at a starting point of subsequence of the N descrambling bits within a 2m2-1-periodic sequence in accordance with a continuous operation, where, for given primitive polynomials, transfer of the state bits from the recover-synchronization Pseudo Random Number Generator to the descramble Pseudo Random Number Generator occurs in a manner such that the subsequences of the N descrambling bits start at pseudo-randomly distributed starting points, which including the starting point.

16. The receive module of claim 12, wherein the recover-synchronization Pseudo Random Number Generator further functions to:

reverse order of the state bits transferred to the descramble Pseudo Random Number Generator when the given primitive polynomials includes two primitive polynomials that are identical with degree m; generate a 2m-1-periodic sequence; and

produce the subsequences of length N starting at pseudo-randomly distributed points within the 2m-1-periodic sequence, wherein the state bits cycle through 2m-1 non-zero binary m-tuples and length-N subsequences includes 2m-1 starting points.

17. The receive module of claim 12, wherein the recover-synchronization Pseudo Random Number Generator further functions to:

maintain order of transferring the state bits to the descramble Pseudo Random Number Generator when the given primitive polynomials includes two primitive polynomials of same degree m with time-reversed coefficients relative to each of the two primitive polynomials.

18. A synchronization and descrambling module comprises:

a frame storage module for receiving a currently received frame via a transmission medium, the currently received frame including a synchronization bit and a scrambled payload;

a recover-synchronization pseudo random number generator (PRNG) module for receiving the synchronization bit from the currently received frame and previously received synchronization bits from previously received frames and producing state bits from the synchronization bit and the previously received synchronization bits;

a descramble PRNG module clocked N times per PCS frame to produce a cipher stream based on the state bits; and

a summing module operably coupled to sum the cipher stream and the scrambled payload of the currently received frame to obtain a PCS frame payload.

19. The synchronization and descrambling module of claim 18, wherein the recover-synchronization PRNG comprises:

a continuously operating Maximum-Length Shift Register (MLSR) with primitive-polynomial feedback of degree m to produce a pseudo random binary sequence with period length 2m-1 that includes 2m−1 ones and 2m−1-1 zeros, wherein the state bits include m preceding output bits, and, within one period, m-tuple of the state bits cycles through 2m-1 non-zero binary m-tuples.

20. The synchronization and descrambling module of claim 18, wherein the descramble PRNG comprises:

a continuously operating Maximum-Length Shift Register (MLSR) with primitive polynomial feedback of degree m to produce a pseudo random binary sequence with period length 2m-1 that includes 2m−1 ones and 2m−1-1 zeros, wherein m state bits include m preceding output bits, and, within one period, m-tuple of the m state bits cycles through 2m-1 non-zero binary m-tuples.