Efficient generalized tensor product codes encoding schemes

    公开(公告)号:US10333554B2

    公开(公告)日:2019-06-25

    申请号:US15639475

    申请日:2017-06-30

    Abstract: A method for generating a binary GTP codeword, comprised of N structure stages and each stage comprises at least one BCH codeword with error correction capability greater than a prior stage and smaller than a next stage, includes: receiving a syndrome vector s of a new stage 0 binary BCH codeword y over a field GF(2m) that comprises Δt syndromes of length m bits, wherein the syndrome vector s comprises l-th Reed-Solomon (RS) symbols of Δt RS codewords whose information symbols are delta syndromes of all BCH codewords from stage 0 until stage n−1; and multiplying s by a right submatrix Ũ of a matrix U, wherein U is an inverse of a parity matrix of an BCH code defined by tn, wherein the new binary BCH codeword is y=Ũ·s.

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