Cyclotomic Linear Codes of Order

Authors:
Cunsheng Ding;H. Niederreiter
Affiliations:
Hong Kong Univ. of Sci. & Technol., Kowloon;-
Venue:
IEEE Transactions on Information Theory
Year:
2007

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A Class of Three-Weight and Four-Weight Codes

IWCC '09 Proceedings of the 2nd International Workshop on Coding and Cryptology

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Abstract

In this correspondence, two classes of cyclotomic linear codes over GF(q) of order 3 are constructed and their weight distributions are determined. The two classes are two-weight codes and contain optimal codes. They are not equivalent to irreducible cyclic codes in general when q > 2.