JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (10): 45-49.doi: 10.6040/j.issn.1671-9352.0.2014.260

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Quadratic residue codes over Fl+vFl+v2Fl

LIU Cai-ran, SONG Xian-mei   

  1. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui, China
  • Received:2014-06-05 Online:2014-10-20 Published:2014-11-10

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Abstract: Quadratic residue codes over the ring R=Fl+vFl+v2Fl are defined in terms of their idempotent generators, where v3=v and l is an odd prime. The relations among the four codes are discussed. Furthermore, the relations between the four codes and their dual codes are obtained.

Key words: generating idempotents, quadratic residue codes, dual code

CLC Number: 

  • TN911.22
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