A note on cyclic codes over GR(p2, m) of length pk |
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Authors: | Han Mao Kiah Ka Hin Leung and San Ling |
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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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Keywords: | |
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