Self-dual codes over the integers modulo 4
نویسندگان
چکیده
منابع مشابه
Self-Dual Codes over the Integers Modulo 4
Michael Klemm has recently studied the conditions satisfied by the complete weight enumerator of a self-dual code over Z 4 , the ring of integers modulo 4. In the present paper we deduce analogous theorems for the ‘‘symmetrized’’ weight enumerator (which ignores the difference between + 1 and − 1 coordinates) and the Hamming weight enumerator. We give a number of examples of self-dual codes, in...
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We introduce linear cyclic codes over the ring F 2 + uF 2 = f0; 1; u; u = u + 1g, where u = 0 and study them by analogy with the Z4 case. We give the structure of these codes on this new alphabet. Self-dual codes of odd length exist as in the case of Z4-codes. Unlike the Z4 case, here free codes are not interesting. Some nonfree codes give rise to optimal binary linear codes and extremal self-d...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1993
ISSN: 0097-3165
DOI: 10.1016/0097-3165(93)90070-o