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20112025
most citedOptimal Binary LCD Codes

49 citations

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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…

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.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…

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,…