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22대 대한민국 국회 국회정보길라잡이 국회의원검색
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In this study, we examine l-quasi-cyclic self-dual codes of length lm over F₂, provided that the polynomial Xm-1 has exactly four distinct irreducible factors in F₂[X]. We find the standard form of generator matrices of codes over the ring R≅Fq[X]/(Xm-1) and the conditions for the codes to be self-dual. We explicitly determine the forms of generator matrices of self-dual codes of lengths 2 and 4 over R.

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