The weight distribution of some irreducible cyclic codes

Authors:
Cunsheng Ding
Affiliations:
Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Kowloon, Hong Kong, China
Venue:
IEEE Transactions on Information Theory
Year:
2009

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Abstract

Irreducible cyclic codes have been an interesting subject of study for a long time. Their weight distribution is known in only a few cases. In this paper, the weight distribution of the irreducible cyclic codes in a number of other cases is determined. The number of nonzero weights in the codes dealt with in this paper varies between one and four.