Zobrazeno 1 - 10 of 150 pro vyhledávání: '"Vladimir D. Tonchev"'
1
Akademický článek
New examples of self-dual near-extremal ternary codes of length 48 derived from 2-(47,23,11) designs
Autor: Sanja Rukavina, Vladimir D. Tonchev
Publikováno v: Examples and Counterexamples, Vol 5, Iss , Pp 100130- (2024)
In a recent paper (Araya and Harada, 2023), Araya and Harada gave examples of self-dual near-extremal ternary codes of length 48 for 145 distinct values of the number A12 of codewords of minimum weight 12, and raised the question about the existence
Externí odkaz: https://doaj.org/article/47abb0d0ebd04513b87491ba46c24022
Zobrazit plný text záznamu
2
Akademický článek
Cyclotomic Trace Codes
Autor: Dean Crnković, Andrea Švob, Vladimir D. Tonchev
Publikováno v: Algorithms, Vol 12, Iss 8, p 168 (2019)
A generalization of Ding’s construction is proposed that employs as a defining set the collection of the sth powers ( s ≥ 2 ) of all nonzero elements in G F ( p m ) , where p ≥ 2 is prime. Some of the resulting codes are optimal or near-optimal
Externí odkaz: https://doaj.org/article/0e029396a3ed4af08f65177b02c079b4
Zobrazit plný text záznamu
3
Extremal ternary self-dual codes of length 36 and symmetric 2-(36, 15, 6) designs with an automorphism of order 2
Autor: Sanja Rukavina, Vladimir D. Tonchev
Publikováno v: Journal of Algebraic Combinatorics. 57:905-913
In this note we report the classification of all symmetric 2-(36,15,6) designs that admit an automorphism of order 2 and their incidence matrices generate an extremal ternary self-dual code. It is shown that up to isomorphism, there exists only one s
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e258aafe023ab4e68ca6b82172c2e74
https://doi.org/10.1007/s10801-022-01206-2
Zobrazit plný text záznamu
5
On Pless symmetry codes, ternary QR codes, and related Hadamard matrices and designs
Autor: Vladimir D. Tonchev
Publikováno v: Designs, Codes and Cryptography. 90:2753-2762
It is proved that a code $L(q)$ which is monomially equivalent to the Pless symmetry code $C(q)$ of length $2q+2$ contains the (0,1)-incidence matrix of a Hadamard 3-$(2q+2,q+1,(q-1)/2)$ design $D(q)$ associated with a Paley-Hadamard matrix of type I
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3a46f68becd94f1b1cd6c0beca15f0f
https://doi.org/10.1007/s10623-021-00941-0
Zobrazit plný text záznamu
7
The projective general linear group $${\mathrm {PGL}}(2,2^m)$$ and linear codes of length $$2^m+1$$
Autor: Cunsheng Ding, Vladimir D. Tonchev, Chunming Tang
Publikováno v: Designs, Codes and Cryptography. 89:1713-1734
Let $$q=2^m$$ . The projective general linear group $${\mathrm {PGL}}(2,q)$$ acts as a 3-transitive permutation group on the set of points of the projective line. The first objective of this paper is to prove that all linear codes over $${\mathrm {GF
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::80363bcc579b72cad6474d826a1cbd30
https://doi.org/10.1007/s10623-021-00888-2
Zobrazit plný text záznamu
8
Strongly regular graphs with parameters (81, 30, 9, 12) and a new partial geometry
Autor: Dean Crnković, Vladimir D. Tonchev, Andrea Švob
Publikováno v: Journal of Algebraic Combinatorics. 53:253-261
In this talk we will explain the method for constructing strongly regular graphs. Using the method, twelve new strongly regular graphs with parameters (81, 30, 9, 12) are found as graphs invariant under certain subgroups of the automorphism groups of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34b28ef5d8f075be901c118d03ba048d
https://doi.org/10.1007/s10801-021-01012-2
Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání

Omezení vyhledávání
Plný text Recenzováno Digitální knihovna AV ČR
Zdroje