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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.
2017
2017
Group rings, G-codes and constructions of self-dual and formally self-dual codes
We describe G-codes, which are codes that are ideals in a group ring, where the ring is a finite commutative Frobenius ring and G… 
Highly Cited
2016
Highly Cited
2016
New MDS Self-Dual Codes From Generalized Reed—Solomon Codes
Both Maximum Distance Separable and Euclidean self-dual codes have theoretical and practical importance and the study of MDS self… 
2016
2016
Infinite families of 2-designs and 3-designs from linear codes
Highly Cited
2015
Highly Cited
2015
On self-dual constacyclic codes over finite fields
This paper is devoted to the study of self-dual codes arising from constacyclic codes. Necessary and sufficient conditions are… 
Highly Cited
2009
Highly Cited
2009
Coding with skew polynomial rings
2008
2008
Secret-sharing schemes based on self-dual codes
Secret sharing is an important topic in cryptography and has applications in information security. We use self-dual codes to… 
Review
2002
Review
2002
Self-Dual Codes
A survey of self-dual codes, written for the Handbook of Coding Theory. Self-dual codes are important because many of the best… 
Highly Cited
1997
Highly Cited
1997
Extremal binary self-dual codes
In this correspondence, we investigate binary extremal self-dual codes. Numerous extremal self-dual codes and interesting self… 
Highly Cited
1985
Highly Cited
1985
Race models and analogy theories: A dead heat? Reply to Seidenberg
Highly Cited
1975
Highly Cited
1975
On the Classification and Enumeration of Self-Dual Codes
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