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…

Papers overview

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2017

In this paper we study Z2Z4Z8-additive codes, which are the extension of recently introduced Z2Z4-additive codes. We determine…

2016

The punctured binary Reed-Muller code is cyclic and was generalized into the punctured generalized Reed-Muller code over $\gf(q…

2015

The idea of neutrosophic code came into my mind at that time when i was reading the literature about linear codes and i saw that…

2013

A lift of binary self-dual codes to the ring $R_2$ is described. By using this lift, a family of self-dual codes over $R_2$ of…

Review

2012

Review

2012

The study of secret sharing schemes was independently initiated by Shamir and Blakely in 1979. Since then several other secret…

2010

for x = (ici,..., xn) and y = (y\,..., yn) in K . The elements of Fg, considered as functions on {1, . . . ,n}, will be…

2008

In this paper, an idea of the cutting plane method is employed to improve the fractional distance of a given binary parity check…

2003

A new coding construction scheme of block codes using short base codes and permutations that enables the construction of binary…

1981

The binary image of an extended Reed-Solomon code over F_{16} relative to a trace-orthogonal basis of F_{l6} is an extremal…

1972

This paper presents a number of interesting results relating to the determination of actual minimum distance of cyclic codes…