Paper Info
Title
Extended norm-trace codes with optimized correction capability
Abstract
We consider a generalization of the codes defined by norm and trace functions on finite fields introduced by Olav Geil. The codes in the new family still satisfy Geil's duality properties stated for normtrace codes. That is, it is easy to find a minimal set of parity checks guaranteeing correction of a given number of errors, as well as the set of monomials generating the corresponding code. Furthermore, we describe a way to find the minimal set of parity checks and the corresponding generating monomials guaranteeing correction at least of generic errors. This gives codes with even larger dimensions.
Year
DOI
Venue
2007
10.1007/978-3-540-77224-8_39
AAECC
Keywords
Field
DocType
minimal set,corresponding generating,parity check,new family,finite field,larger dimension,duality property,extended norm-trace code,generic error,corresponding code,olav geil,optimized correction capability,satisfiability,generalization error
Discrete mathematics,Combinatorics,Finite field,Algebra,Block code,Norm (social),Duality (optimization),Monomial,Parity (mathematics),Mathematics
Conference
Volume
ISSN
ISBN
4851
0302-9743
3-540-77223-5
Citations 
PageRank 
References 
2
0.43
9
Authors
2
Name
Order
Citations
PageRank
Maria Bras-Amoros114719.96
Michael E. O'Sullivan2889.65