QUASI-CYCLIC SELF-DUAL CODES WITH FOUR FACTORS

초록

In this study, we examine t-quasi-cyclic self-dual codes of length tm over F (2 ), provided that the polynomial X-m - 1 has exactly four distinct irreducible factors in F-2[ X ]. We find the standard form of generator matrices of codes over the ring R congruent to F-q[ X ] / ( X- m - 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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