Title :
Cyclotomic Linear Codes of Order
Author :
Ding, Cunsheng ; Niederreiter, Harald
Author_Institution :
Hong Kong Univ. of Sci. & Technol., Kowloon
fDate :
6/1/2007 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2007.896886