Title
Comparison of Two Algorithms for Decoding Alternant Codes
Abstract
We compare the key equation solving algorithm introduced by Fitzpatrick to the Berlekamp-Massey algorithm. Our main result is that the two algorithms have the same computational complexity. It follows that in practice Fitzpatricks algorithm improves on Berlekamp-Massey since it uses less storage and has a simpler control structure. We also give an improved version of Fitzpatricks algorithm and a new simplified proof of the central inductive step in the argument.
Year
DOI
Venue
1998
10.1007/s002000050103
Appl. Algebra Eng. Commun. Comput.
Keywords
Field
DocType
Key wordsDecoding alternant codes,Berlekamp-Massey algorithm,Key equation.
Equation solving,Combinatorics,Berlekamp–Welch algorithm,Berlekamp's algorithm,Algorithm,Decoding methods,Berlekamp–Massey algorithm,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
9
3
0938-1279
Citations 
PageRank 
References 
8
0.91
3
Authors
3
Name
Order
Citations
PageRank
patrick fitzpatrick1817.18
Sylvia M. Jennings2101.95
london england380.91