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Dual code

Known as: Self-dual code 
In coding theory, the dual code of a linear code is the linear code defined by where is a scalar product. In linear algebra terms, the dual code is… 
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Related topics

Related topics

14 relations
CSS codeCoding theoryEnumerator polynomialEven code

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2012
Review
2012
Secret Sharing Schemes and Linear Codes
The study of secret sharing schemes was independently initiated by Shamir and Blakely in 1979. Since then several other secret… 
2010
2010
A triple-error-correcting cyclic code from the Gold and Kasami-Welch APN power functions
2008
2008
A cutting plane method based on redundant rows for improving fractional distance
In this paper, an idea of the cutting plane method is employed to improve the fractional distance of a given binary parity check… 
2008
2008
Design of near-optimum quantum error-correcting codes based on generator and parity-check matrices of LDGM codes
We study the design of near-optimum quantum error correcting codes based on the use of sparse matrices. The basic idea is to… 
Highly Cited
1998
Highly Cited
1998
Extremal Self-Dual Codes with an Automorphism of Order 2
A method to design binary self-dual codes with an automorphism of order two without fixed points is presented. Extremal self-dual… 
1994
1994
Some new constructions for simplex codes
Three constructions for n-dimensional regular simplex codes /spl alpha//sub i/, 0/spl les/i/spl les/n, are proposed, two of which… 
1992
1992
Existence of some extremal self-dual codes
Two new singly-even extremal, self-dual codes are constructed: a (52,26,10) code and a (54,27,10) code. > 
Highly Cited
1989
Highly Cited
1989
6 Understanding Visual and Verbal Messages
Highly Cited
1985
Highly Cited
1985
Race models and analogy theories: A dead heat? Reply to Seidenberg
1972
1972
Some results on the minimum distance structure of cyclic codes
This paper presents a number of interesting results relating to the determination of actual minimum distance of cyclic codes… 
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