JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (2): 72-78.doi: 10.6040/j.issn.1671-9352.1.2015.005

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MacWilliams identity and self-dual codes of linear codes over Z2a+uZ2a

SONG Xian-mei, XIONG Lei   

  1. School of Mathematics and Computer science, Anhui Normal University, Wuhu 241003, Anhui, China
  • Received:2015-01-12 Online:2016-02-16 Published:2016-03-11

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Abstract: The linear codes over R=Z2a+uZ2a with u2=u are discussed. MacWilliams identity for the complete Gray weight enumerator is investigated firstly. Then, the generator matrices of self-dual codes over R and the number of distinct self-dual codes of even length n over Z23+uZ23 are given. The torsion codes over R are discussed and the generator matrices of torsion codes and the relationship between the torsion codes and the residue codes are also obtained.

Key words: MacWilliams identity, torsion code, self-dual code

CLC Number: 

  • O157.4
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[1] LIU Xiu-sheng, LIU Hua-lu. MacWilliams identities of the linear codes over ring Fp+vFp [J]. J4, 2013, 48(12): 61-65.
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