J4 ›› 2013, Vol. 48 ›› Issue (12): 61-65.

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MacWilliams identities of the linear codes over ring Fp+vFp

LIU Xiu-sheng, LIU Hua-lu   

  1. School of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, Hubei, China
  • Received:2013-01-15 Online:2013-12-20 Published:2014-01-09

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Abstract:

The Lee weight enumerators and the complete weight enumerators for the linear codes over ring Fp+vFp were studied. By using the Gray map φ from (Fp+vFp)n to F2np, it is proved that the Gray images of the self-dual codes over Fp+vFp are the self-dual codes over Fp, and then correctness and application of the two MAcWilliams identities are given.

Key words: linear codes; Gray map; Lee weight enumerator; complete weight enumerator; MacWilliams identity

CLC Number: 

  • O157.4
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