Paper Info
Title
Channels with Synchronization/Substitution Errors and Computation of Error Control Codes.
Abstract
We introduce the concept of an ff-maximal error-detecting block code, for some parameter ff{} between 0 and 1, in order to formalize the situation where a block code is close to maximal with respect to being error-detecting. Our motivation for this is that constructing a maximal error-detecting code is a computationally hard problem. We present a randomized algorithm that takes as input two positive integers $N,ell$, a probability value ff, and a specification of the errors permitted in some application, and generates an error-detecting, or error-correcting, block code having up to $N$ codewords of length $ell$. If the algorithm finds less than $N$ codewords, then those codewords constitute a code that is ff-maximal with high probability. The error specification (also called channel) is modelled as a transducer, which allows one to model any rational combination of substitution and synchronization errors. We also present some elements of our implementation of various error-detecting properties and their associated methods. Then, we show several tests of the implemented randomized algorithm on various channels. A methodological contribution is the presentation of how various desirable error combinations can be expressed formally and processed algorithmically.
Year
Venue
Field
2016
arXiv: Information Theory
Integer,Discrete mathematics,Randomized algorithm,Synchronization,Constant-weight code,Block code,Algorithm,Error detection and correction,Code (cryptography),Mathematics,Computation
DocType
Volume
Citations 
Journal
abs/1601.06312
2
PageRank 
References 
Authors
0.46
4
3
Name
Order
Citations
PageRank
Stavros Konstantinidis128331.10
Nelma Moreira218033.98
Rogério Reis314025.74