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An interpolation-based list decoding algorithm for ℓ-quasi-cyclic codes over finite fields is developed and its guaranteed decoding radius for ℓ-phased burst errors is proven. It is also shown that for this error model and for certain parameter ranges, this new approach is advantageous over existing schemes.
The binary quadratic residue (QR) codes have nice distance property, but they are difficult to decode for the insufficient consecutive syndromes. The author used the Lagrange interpolation formula to calculate the needed primary unknown syndrome for the binary QR code. In this paper, we propose an efficient hardware architecture to implement this method, and decode the binary QR code by using the...
<para> In this paper, we devise a rational curve fitting algorithm and apply it to the list decoding of Reed–Solomon and Bose–Chaudhuri–Hocquenghen (BCH) codes. The resulting list decoding algorithms exhibit the following significant properties. <orderedlist numeration="bullet"> <listitem><para>The algorithm achieves the limit of list error correction capability (LECC)...
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