Construction of BCH code over Z_p~k
Jianfa Qian
Abstract
Jianfa Qian
Abstract
BCH codes are of great practical importance for error correction.It has good structure of algebra.For a BCH code of length n=p~m-1 and design distance over F_p,we lift its generator polynomial,and construct a BCH code over Z_(p~k).Moreover,the distance of new BCH code is at least d.
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BCH codes are of great practical importance for error correction.It has good structure of algebra.For a BCH code of length n=p~m-1 and design distance over F_p,we lift its generator polynomial,and construct a BCH code over Z_(p~k).Moreover,the distance of new BCH code is at least d.
Key concepts: BCH code, Polynomial code, Reed–Solomon error correction, Polynomial, Mathematics, Code (set theory), Lift (data mining), Cyclic code