Journal of Shanghai University(Natural Science Edition)
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JIN Qing-fang,YANG Jian-sheng,WANG De-xiu
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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:
O 157.4
JIN Qing-fang;YANG Jian-sheng;WANG De-xiu. Perfect Codes with Respect to Lee Metric[J]. Journal of Shanghai University(Natural Science Edition).
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https://www.journal.shu.edu.cn/EN/Y2008/V14/I3/253