One-Lee Weight Codes and Two-Lee Weight Projective odes Over F2+uF2

Abstract

Abstract: The structure and properties of one-Lee weight codes and two-Lee weight projective codes over the ring F2+uF2 were investigated. A construction method of oneLee weight codes and twoLee weight projective codes over the ring F2+uF2 was given. Under the Gray map from F2+uF2 to F2, two classes of binary optimal linear codes with parameters ［2m+1－2,m,2m］ and ［2m－1, m, 2m－2］ were obtained, the latter is equivalent to the binary firstorder ReedMuller codes RM(1,m-1).
Key words：

Key words: N-weight codes, projective codes, Lee weight, Gray map, generator matrix

CLC Number:

TN 911.2

WANG Yu-1, 2 , ZHU Shi-Xin-3, KAI Xiao-Shan-3, DENG Lin-4. One-Lee Weight Codes and Two-Lee Weight Projective odes Over F₂+uF₂[J]. Journal of Shanghai Jiaotong University, 2012, 46(06): 842-847.

References

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One-Lee Weight Codes and Two-Lee Weight Projective odes Over F₂+uF₂

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