Title :
Estimates for the range of binomiality in codes´ spectra
Author :
Krasikov, Ilia ; Litsyn, Simon
Author_Institution :
Sch. of Math. Sci., Tel Aviv Univ., Israel
fDate :
5/1/1997 12:00:00 AM
Abstract :
We derive new estimates for the range of binomiality in a code´s spectra, where the distance distribution of a code is upperbounded by the corresponding normalized binomial distribution. The estimates depend on the code´s dual distance
Keywords :
binomial distribution; dual codes; estimation theory; linear codes; polynomials; Krawtchouk polynomials; binomiality range estimates; code´s dual distance; codes´ spectra; distance distribution; normalized binomial distribution; random linear code; self-dual codes; Entropy; Error probability; Linear code; Linear programming; Maximum likelihood decoding; Maximum likelihood estimation; Polynomials; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on
