ISSN:
1573-7586
Keywords:
non-uniform error correction
;
linear codes
;
parity sectioned reduction
;
sectioned code
;
error range inequality
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract This paper introduces a class of linear codes which are non-uniform error correcting, i.e. they have the capability of correcting different errors in different code words. A technique for specifying error characteristics in terms of algebraic inequalities, rather than the traditional spheres of radius e, is used. A construction is given for deriving these codes from known linear block codes. This is accomplished by a new method called parity sectioned reduction. In this method, the parity check matrix of a uniform error correcting linear code is reduced by dropping some rows and columns and the error range inequalities are modified.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1008243619754
