Title :
The Weight Distribution of Some Irreducible Cyclic Codes
Author_Institution :
Dept. of Comput. Sci. & Eng., Hong Kong Univ. of Sci. & Technol., Kowloon
fDate :
3/1/2009 12:00:00 AM
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.
Keywords :
Fourier transforms; cyclic codes; Fourier transform; irreducible cyclic codes; nonzero weights number; weight distribution; Computer science; Distributed computing; Fourier transforms; Gaussian processes; Linear code; Cyclotomy; Gaussian periods; irreducible cyclic codes; linear codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2008.2011511
