Linear code

Known as: Binary linear code, Linear (disambiguation), Linear block codes

In coding theory, a linear code is an error-correcting code for which any linear combination of codewords is also a codeword. Linear codes are…

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.

2016

In this paper, a new class of skew-cyclic codes, termed as F3R-skew cyclic codes, is defined, where R denotes the ring F3 + uF3…

2015

The main object of this paper is to give a di erent approach to proof of generating matrix functions for Laguerre matrix…

2015

For a field $\mathbb{F}$, let $R(n, m)$ be the ring of invariant polynomials for the action of $\mathrm{SL}(n, \mathbb{F}) \times…

2015

Maximum-distance separable (MDS) convolutional codes form an optimal family of convolutional codes, the study of which is of…

2014

The main aim of this paper is to define and study of a new matrix polynomials, say, the Rice’s matrix polynomials. The…

2013

In this work, we study a class of generalized quasi-cyclic (GQC) codes called skew GQC codes. By the factorization theory of…

Review

2009

Review

2009

In this paper we analyze different techniques to blindly recover the parameters of turbo-code encoders with only the knowledge of…

2000

The depth distribution of a linear code was recently introduced by T. Etzion (see ibid., vol.43, pp.1361-3, July 1997). In this…

1983

The probability of undetected error of linear block codes for use on a binary symmetric channel is investigated. Upper hounds are…

1980

The two-receiver Gaussian broadcast channel is a model of a communication system where a single codeword is transmitted over two…