Title :
General Error Locator Polynomials for Binary Cyclic Codes With
and
Author :
Orsini, Emmanuela ; Sala, Massimiliano
Author_Institution :
Dipt. di Matematica, Milan Univ.
fDate :
3/1/2007 12:00:00 AM
Abstract :
In this paper, we show that a recently proposed algorithm for decoding cyclic codes may be applied efficiently to all binary cyclic codes with tles2 and n<63. This is accomplished by providing structure theorems for the codes in this range and classifying the relevant cases
Keywords :
binary codes; cyclic codes; decoding; polynomials; binary cyclic codes; decoding; general error locator polynomial; Computer errors; Cryptography; Decoding; Degradation; Equations; Error correction codes; Informatics; Linear code; Mathematics; Polynomials; Cyclic codes; Gröbner bases; decoding procedure;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.889465