49 citations · 129 across the 16 of their papers we have counts for
17 papers
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…
About Code Equivalence -- a Geometric Approach
Iliya Bouyukliev, Stefka Bouyuklieva
The equivalence test is a main part in any classification problem. It helps to prove bounds for the main parameters of the considered combinatorial structures and to study their pr…
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…
Classification of linear codes using canonical augmentation
Iliya Bouyukliev, Stefka Bouyuklieva
We propose an algorithm for classification of linear codes over different finite fields based on canonical augmentation. We apply this algorithm to obtain classification results ov…
Characteristic vector and weight distribution of a linear code
Iliya Bouyukliev, Stefka Bouyuklieva, Tatsuya Maruta +1
We develop an algorithm for computing the weight distribution of a linear code over a finite field . We represent the codes by their characteristic vector wit…
Nonexistence of certain singly even self-dual codes with minimal shadow
Stefka Bouyuklieva, Masaaki Harada, Akihiro Munemasa
It is known that there is no extremal singly even self-dual code with minimal shadow for , , , and $(24m…
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…
On the Automorphism Group of a Binary Self-dual [120, 60, 24] Code
Stefka Bouyuklieva, Javier de la Cruz, Wolfgang Willems
We prove that an automorphism of order 3 of a putative binary self-dual [120, 60, 24] code C has no fixed points. Moreover, the order of the automorphism group of C divides 2^a.3.5…
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,…
Some Extremal Self-Dual Codes and Unimodular Lattices in Dimension 40
Stefka Bouyuklieva, Iliya Bouyukliev, Masaaki Harada
In this paper, binary extremal singly even self-dual codes of length 40 and extremal odd unimodular lattices in dimension 40 are studied. We give a classification of extremal singl…
On the classification of binary self-dual [44,22,8] codes with an automorphism of order 3 or 7
Stefka Bouyuklieva, Nikolay Yankov, Radka Russeva
All binary self-dual [44,22,8] codes with an automorphism of order 3 or 7 are classified. In this way we complete the classification of extremal self-dual codes of length 44 having…
Singly-even self-dual codes with minimal shadow
Stefka Bouyuklieva, Wolfgang Willems
In this note we investigate extremal singly-even self-dual codes with minimal shadow. For particular parameters we prove non-existence of such codes. By a result of Rains \cite{Rai…
An Algorithm for Classification of Binary Self-Dual Codes
Stefka Bouyuklieva, Iliya Bouyukliev
An efficient algorithm for classification of binary self-dual codes is presented. As an application, a complete classification of the self-dual codes of length 38 is given.