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We extend the definition of zeta function and zeta polynomial to codes definedover finite rings with respect to a specified weight function. Moreover, we also investigate the Riemann hypothesis analog...ue for Type IV codes over any of the rings Z_4, F_2 + uF_2 and F_2 + νF_2. Although, for small lengths, there are only a few actual Type IV codes over Z_4, F_2 + uF_2 or F_2 + νF_2 that satisfy the Hamming distance upper bound 2(1 + n/6), we will show that zeta polynomials corresponding to these weight enumerators that meet this bound satisfy the Riemann hypothesis analogue property.続きを見る
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Mendeley出力
