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.

2015

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

2015

A new family of error-correcting codes, called Fourier codes, is introduced. The code parity-check matrix, dimension and an upper…

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

We present a Knuth-like method for balancing q-ary codewords, which is characterized by the absence of a prefix that carries the…

2012

In this paper we introduce Humbert matrix polynomials of two variables. Some hypergeometric matrix representations of the Humbert…

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…

2000

1382 NOTICES OF THE AMS VOLUME 47, NUMBER 11 I n Part I of this article we introduced “lattices” L ⊂ Rn and described some of…

2000

Let dg (n, k) be the maximum possible minimum Hamming distance of a linear [n, k] code over lFg• In this paper, twenty-four new…

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…