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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.
2016
2016
Another Generalization of the Reed-Muller Codes
The punctured binary Reed-Muller code is cyclic and was generalized into the punctured generalized Reed-Muller code over $\gf(q… 
2015
2015
Efficient Two-Write WOM-Codes for Non-Volatile Memories
A write once memory (WOM) is defined as a class of storage medium, with each storage element known as a cell, that contains… 
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… 
2008
2008
Construction of Self-Dual Codes
Construction methods for self-dual codes are given. By using these methods some new extremal self-dual [66, 33, 12] and [68, 34… 
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… 
2005
2005
On the EXIT chart analysis of low-density parity-check codes
The extrinsic information transfer (EXIT) charts are used to analyze the sum-product decoding algorithm of low-density parity… 
2003
2003
A systematic construction of self-dual codes
A new coding construction scheme of block codes using short base codes and permutations that enables the construction of binary… 
1996
1996
The ternary Golay code, the integers mod 9, and the Coxeter-Todd lattice
The 12-dimensional Coxeter-Todd lattice can be obtained by lifting the ternary Golay code to a code over the integers mod 9 and… 
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. > 
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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