The classification of self-dual modular codes

초록

A classification method of self-dual codes over Z(m) is given. If m = rs with relatively prime integers r and s, then the classification can be accomplished by double coset decompositions of S-n by automorphism groups of self-dual codes over Z(r) and Z(s). We classify self-dual codes of length 4 over Z(p) for all primes p in terms of their automorphism groups and then apply our method to classify self-dual codes over Z(m) for arbitrary integer m. Self-dual codes of length 8 are also classified over Z(pq) for p,q = 2, 3, 5, 7. (C) 2011 Elsevier Inc. All rights reserved.

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