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JCT
2006
82views more  JCT 2006»
13 years 10 months ago
A symmetric Roos bound for linear codes
The van Lint-Wilson AB-method yields a short proof of the Roos bound for the minimum distance of a cyclic code. We use the AB-method to obtain a different bound for the weights of...
Iwan M. Duursma, Ruud Pellikaan
CORR
2010
Springer
261views Education» more  CORR 2010»
13 years 8 months ago
Analysis of Quasi-Cyclic LDPC codes under ML decoding over the erasure channel
In this paper, we show that over the binary erasure channel, Quasi-Cyclic LDPC codes can efficiently accommodate the hybrid iterative/ML decoding. We demonstrate that the quasicycl...
Mathieu Cunche, Valentin Savin, Vincent Roca
FOCS
2002
IEEE
14 years 3 months ago
Linear Diophantine Equations over Polynomials and Soft Decoding of Reed-Solomon Codes
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...
Michael Alekhnovich
ICASSP
2011
IEEE
13 years 2 months ago
Linear time decoding of real-field codes over high error rate channels
This paper proposes a novel algorithm for decoding real-field codes over erroneous channels, where the encoded message is corrupted by sparse errors, i.e., impulsive noise. The m...
Zaixing He, Takahiro Ogawa, Miki Haseyama