Binary Constant Weight Codes Based on Cyclic Difference Sets

Nian LI  Xiangyong ZENG  Lei HU  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E91-A   No.5   pp.1288-1292
Publication Date: 2008/05/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e91-a.5.1288
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Coding Theory
cyclic difference set,  sequence with two-valued autocorrelation,  constant weight code,  Hamming distance,  

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Based on cyclic difference sets, sequences with two-valued autocorrelation can be constructed. Using these constructed sequences, two classes of binary constant weight codes are presented. Some codes proposed in this paper are proven to be optimal.