output
20112025
most citedOptimal Binary LCD Codes

49 citations

20 papers

cs.CR2025

Pingmark: A Textual Protocol for Universal Spatial Mentions

Kalin Dimitrov

Pingmark defines a universal textual protocol for expressing spatial context through a minimal symbol: !@. Rather than embedding coordinates or using proprietary map links, Pingmar…

cs.IT2023

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…

math.HO2021★ 1 cited

About the Study of the -dimensional Boolean Cube in the Bachelor's Programs in Computer Science

Valentin Bakoev

Here we present our arguments for a more in-depth study of the Boolean cube, which is one of the most important discrete structures. The article contains a case study that analyses…

cs.IT2020★ 49 cited

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…

cs.IT2020★ 25 cited

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…

cs.IT2019★ 1 cited

CRC selection for decoding of CRC-polar concatenated codes

Tsonka Baicheva, Peter Kazakov

An efficient scheme to increase the performance of polar codes at short and moderate block lengths is a concatenation of CRC code and a polar code. In order to obtain better result…

cs.DM2019★ 2 cited

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…

cs.DM2019

Fast Computing the Algebraic Degree of Boolean Functions

Valentin Bakoev

Here we consider an approach for fast computing the algebraic degree of Boolean functions. It combines fast computing the ANF (known as ANF transform) and thereafter the algebraic…

cs.DM2019

Combinatorial and Algorithmic Properties of One Matrix Structure at Monotone Boolean Functions

Valentin Bakoev

One matrix structure in the area of monotone Boolean functions is defined here. Some of its combinatorial, algebraic and algorithmic properties are derived. On the base of these pr…

cs.DM2018★ 5 cited

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…

math.DG2015

Slant null curves on normal almost contact B-metric 3-manifolds with parallel Reeb vector field

Galia Nakova, Hristo Manev

In this paper we study slant null curves with respect to the original parameter on 3-dimensional normal almost contact B-metric manifolds with parallel Reeb vector field. We prove…

cs.IT2014★ 3 cited

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…

math.DG2013

Radical transversal lightlike hypersurfaces of almost complex manifolds with Norden metric

Galia Nakova

In this paper we introduce radical transversal lightlike hypersurfaces of almost complex manifolds with Norden metric. The study of these hypersurfaces is motivated by the fact tha…

math.ST2013★ 1 cited

On the convergence of the Metropolis-Hastings Markov chains

Dimiter Tsvetkov, Lyubomir Hristov, Ralitsa Angelova-Slavova

In this paper we study Markov chains associated with the Metropolis-Hastings algorithm. We consider conditions under which the sequence of the successive densities of such a chain…

math.CO2012★ 5 cited

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…

cs.IT2012★ 1 cited

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,…

math.DG2012★ 5 cited

Some lightlike submanifolds of almost complex manifolds with Norden metric

Galia Nakova

In this paper we study submanifolds of an almost complex manifold with Norden metric which are non-degenerate with respect to the one Norden metric and lightlike with respect to th…

math.CO2011

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…

math.CO2011★ 7 cited

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…

math.CO2011★ 29 cited

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.