Abstract: Methods, systems, and apparatuses are disclosed for implementing fast large-integer arithmetic within an integrated circuit, such as on IA (Intel Architecture) processors, in which such means include receiving a 512-bit value for squaring, the 512-bit value having eight sub-elements each of 64-bits and performing a 512-bit squaring algorithm by: (i) multiplying every one of the eight sub-elements by itself to yield a square of each of the eight sub-elements, the eight squared sub-elements collectively identified as T1, (ii) multiplying every one of the eight sub-elements by the other remaining seven of the eight sub-elements to yield an asymmetric intermediate result having seven diagonals therein, wherein each of the seven diagonals are of a different length, (iii) reorganizing the asymmetric intermediate result having the seven diagonals therein into a symmetric intermediate result having four diagonals each of 7×1 sub-elements of the 64-bits in length arranged across a plurality of columns, (iv) adding all

Abstract: A method is described. The method includes executing one or more JH_SBOX_L instructions to perform S-Box mappings and a linear (L) transformation on a JH state and executing one or more JH_P instructions to perform a permutation function on the JH state once the S-Box mappings and the L transformation have been performed.

Abstract: A method is described. The method includes executing one or more JH_SBOX_L instruction to perform S-Box mappings and a linear (L) transformation on a JH state and executing one or more JH_Permute instruction to perform a permutation function on the JH state once the S-Box mappings and the L transformation have been performed.

Abstract: A multiply-and-accumulate (MAC) instruction allows efficient execution of unsigned integer multiplications. The MAC instruction indicates a first vector register as a first operand, a second vector register as a second operand, and a third vector register as a destination. The first vector register stores a first factor, and the second vector register stores a partial sum. The MAC instruction is executed to multiply the first factor with an implicit second factor to generate a product, and to add the partial sum to the product to generate a result. The first factor, the implicit second factor and the partial sum have a same data width and the product has twice the data width. The most significant half of the result is stored in the third vector register, and the least significant half of the result is stored in the second vector register.

Abstract: Erasure code syndrome computation based on Reed Solomon (RS) operations in a Galois field to permit reconstruction of data of more than 2 failed storage units. Syndrome computation may be performed with coefficient exponents that consist of ?1, 0, and 1. A product xD of a syndrome is computed as a left-shift of data byte D, and selective compensation based on the most significant bit of D. A product x?1D of a syndrome is computed as a right-shift of data byte D, and selective compensation based on the most significant bit of D. Compensation may include bit-wise XORing shift results with a constant derived from an irreducible polynomial associated with the Galois field. A set of erasure code syndromes may be computed for each of multiple nested arrays of independent storage units. Data reconstruction includes solving coefficients of the syndromes as a Vandermonde matrix.

Abstract: Methods and apparatus for processing bitstreams and byte streams. According to one aspect, bitstream data is compressed using coalesced string match tokens with delayed matching. A matcher is employed to perform search string match operations using a shortened maximum string length search criteria, resulting in generation of a token stream having <len, distance> data and literal data. A distance match operation is performed on sequentially adjacent tokens to determine if they contain the same distance data. If they do, the len values of the tokens are added through use of a coalesce buffer. Upon detection of a distance non-match, a final coalesced length of a matching string is calculated and output along with the prior matching distance as a coalesced token.

Abstract: A method of one aspect may include receiving a rotate instruction. The rotate instruction may indicate a source operand and a rotate amount. A result may be stored in a destination operand indicated by the rotate instruction. The result may have the source operand rotated by the rotate amount. Execution of the rotate instruction may complete without reading a carry flag.

Abstract: A method of an aspect includes receiving an instruction indicating a first source having at least one set of four state matrix data elements, which represent a complete set of four inputs to a G function of a cryptographic hashing algorithm. The algorithm uses a sixteen data element state matrix, and alternates between updating data elements in columns and diagonals. The instruction also indicates a second source having data elements that represent message and constant data. In response to the instruction, a result is stored in a destination indicated by the instruction. The result includes updated state matrix data elements including at least one set of four updated state matrix data elements. Each of the four updated state matrix data elements represents a corresponding one of the four state matrix data elements of the first source, which has been updated by the G function.

Abstract: In one embodiment, the present disclosure provides a method that includes segmenting an n-bit exponent e into a first segment et and a number t of k-bit segments ei in response to a request to determine a modular exponentiation result R, wherein R is a modular exponentiation of a generator base g for the exponent e and a q-bit modulus m, wherein the generator base g equals two and k is based at least in part on a processor configured to determine the result R; iteratively determining a respective intermediate modular exponentiation result for each segment ei, wherein the determining comprises multiplication, exponentiation and a modular reduction of at least one of a multiplication result and an exponentiation result; and generating the modular exponentiation result R=ge mod m based on, at least in part, at least one respective intermediate modular exponentiation result.

Abstract: A method and apparatus to optimize each of the plurality of reduction stages in a Cyclic Redundancy Check (CRC) circuit to produce a residue for a block of data decreases area used to perform the reduction while maintaining the same delay through the plurality of stages of the reduction logic. A hybrid mix of Karatsuba algorithm, classical multiplications and serial division in various stages in the CRC reduction circuit results in about a twenty percent reduction in area on the average with no decrease in critical path delay.

Abstract: A method of one aspect may include receiving a rotate instruction. The rotate instruction may indicate a source operand and a rotate amount. A result may be stored in a destination operand indicated by the rotate instruction. The result may have the source operand rotated by the rotate amount. Execution of the rotate instruction may complete without reading a carry flag.

Abstract: Method and apparatus for performing a shift and XOR operation. In one embodiment, an apparatus includes execution resources to execute a first instruction. In response to the first instruction, said execution resources perform a shift and XOR on at least one value.

Abstract: Method and apparatus for performing a shift and XOR operation. In one embodiment, an apparatus includes execution resources to execute a first instruction. In response to the first instruction, said execution resources perform a shift and XOR on at least one value.

Abstract: A method of one aspect may include receiving a rotate instruction. The rotate instruction may indicate a source operand and a rotate amount. A result may be stored in a destination operand indicated by the rotate instruction. The result may have the source operand rotated by the rotate amount. Execution of the rotate instruction may complete without reading a carry flag.

Abstract: A method of one aspect may include receiving a rotate instruction. The rotate instruction may indicate a source operand and a rotate amount. A result may be stored in a destination operand indicated by the rotate instruction. The result may have the source operand rotated by the rotate amount. Execution of the rotate instruction may complete without reading a carry flag.

Abstract: Method and apparatus for performing a shift and XOR operation. In one embodiment, an apparatus includes execution resources to execute a first instruction. In response to the first instruction, said execution resources perform a shift and XOR on at least one value.

Abstract: A processor includes an instruction decoder to receive a first instruction to process a SHA-1 hash algorithm, the first instruction having a first operand to store a SHA-1 state, a second operand to store a plurality of messages, and a third operand to specify a hash function, and an execution unit coupled to the instruction decoder to perform a plurality of rounds of the SHA-1 hash algorithm on the SHA-1 state specified in the first operand and the plurality of messages specified in the second operand, using the hash function specified in the third operand.

Abstract: An embodiment may include circuitry to execute, at least in part, a first list of instructions and/or to concurrently process, at least in part, first and second buffers. The execution of the first list of instructions may result, at least in part, from invocation of a first function call. The first list of instructions may include at least one portion of a second list of instructions interleaved, at least in part, with at least one other portion of a third list of instructions. The portions may be concurrently carried out, at least in part, by one or more sets of execution units of the circuitry. The second and third lists of instructions may implement, at least in part, respective algorithms that are amenable to being invoked by separate respective function calls. The concurrent processing may involve, at least in part, complementary algorithms.

Abstract: A method is described. The method includes executing an instruction to perform one or more Galois Field (GF) multiply by 2 operations on a state matrix and executing an instruction to combine results of the one or more GF multiply by 2 operations with exclusive or (XOR) functions to generate a result matrix.

Abstract: A multiply-and-accumulate (MAC) instruction allows efficient execution of unsigned integer multiplications. The MAC instruction indicates a first vector register as a first operand, a second vector register as a second operand, and a third vector register as a destination. The first vector register stores a first factor, and the second vector register stores a partial sum. The MAC instruction is executed to multiply the first factor with an implicit second factor to generate a product, and to add the partial sum to the product to generate a result. The first factor, the implicit second factor and the partial sum have a same data width and the product has twice the data width. The most significant half of the result is stored in the third vector register, and the least significant half of the result is stored in the second vector register.