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A concatenated coding system consisting of a (255,223) Reed-Solomon outer code and a convolutional inner code is provided with either a block of preinterleaved frames or an interleaver of frames in a block of data symbols to be coded in the outer decoder. By interleaving, errors are constrained to o

A concatenated coding system consisting of a (255,223) Reed-Solomon outer code and a convolutional inner code is provided with either a block of preinterleaved frames or an interleaver of frames in a block of data symbols to be coded in the outer decoder. By interleaving, errors are constrained to occur in only one symbol in a frame, which can be corrected by the Reed-Solomon outer decoder. After transmission and inner decoding, the data symbols are deinterleaved for outer decoding. Instead of preinterleaving at the source, or interleaving before inner encoding, the frames of data symbols may be interleaved at the receiver after inner decoding and then combined with the inner decoded check symbols for outer decoding. The outer encoder is a bit-serial Reed-Solomon encoder with programmable interleaving, and the inner decoder is a Viterbi decoder.

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In a concatenated Reed-Solomon/convolutional encoding system for transmitting data symbols from a source with a Reed-Solomon outer code and a convolutional inner code, said data symbols being grouped in frames having a fixed number of said data symbols for Reed-Solomon outer code encoding, whereby a

In a concatenated Reed-Solomon/convolutional encoding system for transmitting data symbols from a source with a Reed-Solomon outer code and a convolutional inner code, said data symbols being grouped in frames having a fixed number of said data symbols for Reed-Solomon outer code encoding, whereby a fixed number of parity check symbols are generated for each frame, apparatus comprising means for encoding each of a programmable number of successive frames grouped in a block of data symbols with said Reed-Solomon outer code to generate said number of parity check symbols for each frame of a block, comprised of a bit serial Berlekamp multipler having parallel storage for partial remainders in an array of registers Si for 1≤i≤n to develop parity check symbols Ai, Bi . . . , Ni for 1≤i≤n, where N is the programmable number of frames in a block, and n is the number of check symbols generated for each of said frames in a block, whereby said array has a row of separate registers for developing partial remainders into parity check symbols for each of said programmable number N of successive frames in a block and storing said fixed number n of parity check symbols in separate registers for each of said frame, and means for reading out check symbols in interleaved sequence of A1, B1, . . . , N1; A2, B2, . . . , N2; . . . An, Bn, . . . , Nn, means for programming the number of frames grouped in a block for encoding with said Reed-Solomon outer code by programmably setting said number of parallel storage registers to be active in storing parity check symbols, means for encoding each of said frames and associated interleaved parity check symbols of said block with a convolutional inner code for transmission through a channel, means for receiving said frames and associated interleaved parity check symbols of said block and for decoding said convolutional code of said block with a Viterbi maximum likelihood decoder, and means for matching each frame of symbols in a block of frames encoded with said Reed-Solomon outer code with said associated check symbols for Reed-Solomon outer code decoding.