DocumentCode :
890101
Title :
Cyclotomic Linear Codes of Order 3
Author :
Ding, Cunsheng ; Niederreiter, Harald
Author_Institution :
Hong Kong Univ. of Sci. & Technol., Kowloon
Volume :
53
Issue :
6
fYear :
2007
fDate :
6/1/2007 12:00:00 AM
Firstpage :
2274
Lastpage :
2277
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.
Keywords :
cyclic codes; linear codes; Cyclotomic linear codes; irreducible cyclic codes; two-weight codes; Computer science; Councils; Fourier transforms; Galois fields; Gaussian processes; Laboratories; Linear code; Mathematics; Terminology; Cyclotomy; Gaussian periods; linear codes; strongly regular graphs; two-weight codes;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2007.896886
Filename :
4215133
Link To Document :
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