Quaternary 1-generator quasi-cyclic codes are considered in the paper. Under the conditions that n is odd and gcd(|2| n , m) = 1, where |2| n denotes the order of 2 modulo n, we give the enumeration of quaternary 1-generator quasi-cyclic codes of length mn, and describe an algorithm which will obtain one, and only one, generator for each quaternary 1-generator quasi-cyclic code.
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机译:本文考虑了四元一发电机准循环码。在n为奇数且gcd(| 2 | n sub>,m)= 1的条件下,其中| 2 | n sub>表示2模n的阶。枚举长度为mn的四元一生成器准循环码,并描述了一种算法,该算法将为每个四元一生成器准循环码获得一个且只有一个生成器。
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