Cyclotomic Linear Codes of Order 3

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.

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Bibliographische Detailangaben
Veröffentlicht in:	IEEE transactions on information theory 2007-06, Vol.53 (6), p.2274-2277
Hauptverfasser:	Cunsheng Ding, Niederreiter, H.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Coding standards Coding, codes Computer science Councils Cyclotomy Electronics Exact sciences and technology Fourier transforms Galois fields Gaussian periods Gaussian processes Information systems Information technology Information theory Information, signal and communications theory Laboratories Linear code linear codes Mathematics Signal and communications theory strongly regular graphs Telecommunications and information theory Terminology two-weight codes
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Beschreibung
Zusammenfassung:	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.
ISSN:	0018-9448 1557-9654
DOI:	10.1109/TIT.2007.896886