49 citations · 129 across the 16 of their papers we have counts for
8 papers · 1 filter
Sequence of Numbers of Linear Codes with Increasing Hull Dimensions
Stefka Bouyuklieva, Iliya Bouyukliev, Ferruh Özbudak
The hull of a linear code is the intersection of with its dual code. We present and analyze the number of linear -ary codes of the same length and dimension but with dif…
On the Structure of the Linear Codes with a Given Automorphism
Stefka Bouyuklieva
The purpose of this paper is to present the structure of the linear codes over a finite field with q elements that have a permutation automorphism of order m. These codes can be co…
An Algorithm for Computing the Covering Radius of a Linear Code Based on Vilenkin-Chrestenson Transform
Paskal Piperkov, Iliya Bouyukliev, Stefka Bouyuklieva
We present a generalization of Walsh-Hadamard transform that is suitable for applications in Coding Theory, especially for computation of the weight distribution and the covering r…
On the Structure of the Binary LCD Codes having an Automorphism of Odd Prime Order
Stefka Bouyuklieva, Javier de la Cruz
The aim of this work is to study the structure and properties of the binary LCD codes having an automorphisms of odd prime order and to present a method for their construction.
Optimal Binary LCD Codes
Stefka Bouyuklieva
Linear complementary dual codes (or codes with complementary duals) are codes whose intersections with their dual codes are trivial. These codes were first introduced by Massey in…
Computer classification of linear codes
Iliya Bouyukliev, Stefka Bouyuklieva, Sascha Kurz
We present algorithms for classification of linear codes over finite fields, based on canonical augmentation and on lattice point enumeration. We apply these algorithms to obtain c…
On the Automorphisms of Order 15 for a Binary Self-Dual [96, 48, 20] Code
Stefka Bouyuklieva, Wolfgang Willems, Nikolay Yankov
The structure of binary self-dual codes invariant under the action of a cyclic group of order for odd primes is considered. As an application we prove the nonexisten…
Classification of Binary Self-Dual [48,24,10] Codes with an Automorphism of Odd Prime Order
Stefka Bouyuklieva, Nikolay Yankov, Jon-Lark Kim
The purpose of this paper is to complete the classification of binary self-dual [48,24,10] codes with an automorphism of odd prime order. We prove that if there is a self-dual [48,…