Part 2: - NC-Pro 2011 WorkshopInternational audienceWe consider the problem of efficient decoding of a random linear code over a finite field. In particular we are interested in the case where the code is random, relatively sparse, and use the binary finite field as an example. The goal is to decode the data using fewer operations to potentially achieve a high coding throughput, and reduce energy consumption. We use an on-the-fly version of the Gauss-Jordan algorithm as a baseline, and provide several simple improvements to reduce the number of operations needed to perform decoding. Our tests show that the improvements can reduce the number of operations used during decoding with 10-20% on average depending on the code parameters
Linear programming (LP) decoding for low-density parity-check codes (and related domains such as com...
Abstract — Given a linear code and observations from a noisy channel, the decoding problem is to det...
The minimum distance of an error-correcting code is an important concept in information theory. Henc...
We consider the problem of efficient decoding of a random linear code over a finite field. In partic...
We consider the problem of efficient decoding of a random linear code over a finite field. In partic...
International audienceIn this letter, we compute the exact probability that a receiver obtains N lin...
In this letter, we compute the exact probability that a receiver obtains N linearly independent pack...
In the random linear network coding scenario with subspace codes applied, if the number of packets i...
In this paper, the decoding failure probability for sparse random linear network coding in a probabi...
A central paradox of coding theory has been noted for many years, and concerns the existence and con...
Includes bibliographical references (p. 39)Linear block codes are used in modern communication and d...
We present a practical, modified version of earliest decoding for random linear network coding netwo...
We propose a new algorithm for the decoding of random binary linear codes of dimension $n$ that is s...
Low-density parity-check (LDPC) codes have made it possible to communicate at information rates very...
In this paper we present a formalised description of Modified Earliest Decoding. We simulate the per...
Linear programming (LP) decoding for low-density parity-check codes (and related domains such as com...
Abstract — Given a linear code and observations from a noisy channel, the decoding problem is to det...
The minimum distance of an error-correcting code is an important concept in information theory. Henc...
We consider the problem of efficient decoding of a random linear code over a finite field. In partic...
We consider the problem of efficient decoding of a random linear code over a finite field. In partic...
International audienceIn this letter, we compute the exact probability that a receiver obtains N lin...
In this letter, we compute the exact probability that a receiver obtains N linearly independent pack...
In the random linear network coding scenario with subspace codes applied, if the number of packets i...
In this paper, the decoding failure probability for sparse random linear network coding in a probabi...
A central paradox of coding theory has been noted for many years, and concerns the existence and con...
Includes bibliographical references (p. 39)Linear block codes are used in modern communication and d...
We present a practical, modified version of earliest decoding for random linear network coding netwo...
We propose a new algorithm for the decoding of random binary linear codes of dimension $n$ that is s...
Low-density parity-check (LDPC) codes have made it possible to communicate at information rates very...
In this paper we present a formalised description of Modified Earliest Decoding. We simulate the per...
Linear programming (LP) decoding for low-density parity-check codes (and related domains such as com...
Abstract — Given a linear code and observations from a noisy channel, the decoding problem is to det...
The minimum distance of an error-correcting code is an important concept in information theory. Henc...