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A note on cyclic codes over GR(p2, m) of length pk
Authors:Han Mao Kiah  Ka Hin Leung and San Ling
Abstract:The number of self-dual cyclic codes of length p k over GR(p 2, m) is determined by the nullity of a certain matrix M(p k , i 1). With the aid of Genocchi numbers, we determine the nullity of M(p k , i 1) and hence determine completely the number of such codes.
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