Abstract: A Reed-Solomon encoder that supports multiple code words is provided. The encoder circuit may include partial syndrome calculation circuitry, three matrix multiplication circuits, and two adder circuits. The partial syndrome calculation circuitry may receive a message and generate partial syndromes. The first matrix multiplication circuit may multiply a lower portion of the partial syndromes by a small Lagrange matrix to produce a small parity symbol vector. The second matrix multiplication circuit may multiply the small parity symbol vector by a Vandermonde matrix to produce a product vector. The first adder circuit may add the product vector to an upper portion of the partial syndromes to produce a sum vector. The third matrix multiplication circuit may multiply the sum vector by a large Lagrange matrix to produce a large product vector. The large product vector may be selectively combined with the small parity symbol vector to generate final parity check symbols.

Abstract: The present embodiments relate to Reed-Solomon encoding, and to circuitry for performing such encoding, particularly in an integrated circuit. A Reed-Solomon encoder circuit may receive a message with data symbols and compute a partial syndrome vector by multiplying the data symbols with a first matrix. The Reed-Solomon encoder circuit may further compute parity check symbols by solving a system of linear equations that includes the partial syndrome vector and a second matrix. As an example, the second matrix may be decomposed into a lower triangular matrix and an upper triangular matrix, and the parity check symbols may be computed by performing a forward substitution and a backward substitution using the lower and upper triangular matrices. The Reed-Solomon encoder circuit may generate a Reed-Solomon code word by combining the data symbols and the parity check symbols, and provide the Reed-Solomon code word at an output port.

Abstract: An integrated circuit may include a Reed-Solomon decoder that receives a transmitted code word and an associated bit mask and that generates a corresponding corrected message. The bit mask indicates an erasure pattern for the received code word. The Reed-Solomon decoder may include a syndrome generator, a multiplication circuit, a read-only memory (ROM) circuit, an address compressor, and an aggregation circuit. The syndrome generator may receive the transmitted code word and generate a corresponding syndrome. The address compressor may receive the bit mask and generate a corresponding unique address for accessing the ROM circuit. The ROM circuit may then output an inverse parity matrix based on the unique address. The multiplication circuit may multiply the syndrome by the retrieved inverse parity matrix to output corrected symbols. The aggregation circuit may then path the received code word with the corrected symbols to obtain the corrected message.

Abstract: An integrated circuit may have configurable storage blocks. A configurable storage block may include a memory array, and arithmetic and control circuitry. The arithmetic and control circuitry may be used to determine whether to operate the configurable storage block in a first mode which may provide random access to the memory array or in a second mode which may provide access to the memory array in a predefined order. Thus, the configurable storage block may implement simple first-in first-out modules and shift registers in addition to implementing memory modules with random access. Arithmetic and control circuitry may include a multiplexer that determines whether the configurable storage block is implementing simple first-in first-out modules or shift registers. When the configurable storage block implements first-in first-out modules, an up-down counter may be activated to generate a count value received at the multiplexer.

Abstract: A method of designing an integrated circuit using a computer implemented circuit design application is disclosed. The method may involve receiving a user-provided value specifying a number of output components to be connected to an input component in the integrated circuit, connecting the input component to each output component of the number of output components in the integrated circuit using computer-implemented fan-out circuit blocks. In addition, generating a circuit design such that one of the fan-out circuit blocks is replaced in the circuit design with connecting components according to a set of parameters.

Abstract: An integrated circuit may have configurable storage blocks. A configurable storage block may include a memory array, and arithmetic and control circuitry. The arithmetic and control circuitry may be used to determine whether to operate the configurable storage block in a first mode which may provide random access to the memory array or in a second mode which may provide access to the memory array in a predefined order. Thus, the configurable storage block may implement simple first-in first-out modules and shift registers in addition to implementing memory modules with random access. Arithmetic and control circuitry may include a multiplexer that determines whether the configurable storage block is implementing simple first-in first-out modules or shift registers. When the configurable storage block implements first-in first-out modules, an up-down counter may be activated to generate a count value received at the multiplexer.

Abstract: An integrated circuit for implementing a Reed-Solomon encoder circuit is provided. The encoder circuit may include partial syndrome calculation circuitry and matrix multiplication circuitry. The partial syndrome calculation circuitry may receive a message and generate corresponding partial syndromes. The matrix multiplication circuitry may receive the partial syndromes and may compute parity check symbols by multiplying the partial syndromes by predetermined Lagrangian polynomial coefficients. The parity check symbol generation step may be performed in one clock cycle or multiple clock cycles.

Abstract: The present embodiments relate to Reed-Solomon encoding, and to circuitry for performing such encoding, particularly in an integrated circuit. A Reed-Solomon encoder circuit may receive a message with data symbols and compute a partial syndrome vector by multiplying the data symbols with a first matrix. The Reed-Solomon encoder circuit may further compute parity check symbols by solving a system of linear equations that includes the partial syndrome vector and a second matrix. As an example, the second matrix may be decomposed into a lower triangular matrix and an upper triangular matrix, and the parity check symbols may be computed by performing a forward substitution and a backward substitution using the lower and upper triangular matrices. The Reed-Solomon encoder circuit may generate a Reed-Solomon code word by combining the data symbols and the parity check symbols, and provide the Reed-Solomon code word at an output port.

Abstract: A selectable block in a graphical user interface of an electric design automation tool for generating a design of a system on a target device includes a token passing unit operable to pass a token through one of a first output port and second output port in response to a result from a loop test. The selectable block also includes a counter operable to increment a step value in response to the selectable block receiving the token at a first input port.