Journal of Shanghai University(Natural Science Edition)

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Perfect Codes with Respect to Lee Metric

JIN Qing-fang,YANG Jian-sheng,WANG De-xiu   

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2007-04-05 Revised:1900-01-01 Online:2008-06-30 Published:2008-06-30
  • Contact: YANG Jian-sheng

Abstract: This paper obtain a necessary condition for the existence of Lee weight perfect codes over Zq , q∈Z,q≥4 and show that the Lee weight perfect codes do not exist over Z4. This paper also show that perfect codes do not exist over Z4k with respect to a new distance, which is related to Lee metric.

Key words: Lee weight, perfect codes, partition

CLC Number: