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Pregled bibliografske jedinice broj: 1268607

On extremal ternary self-dual codes of length 36 and related symmetric 2-(36, 15, 6) designs


Rukavina, Sanja; Tonchev, Vladimir D.
On extremal ternary self-dual codes of length 36 and related symmetric 2-(36, 15, 6) designs // Abstracts
Marseille, Francuska, 2023. str. 1-3 (predavanje, međunarodna recenzija, prošireni sažetak, znanstveni)


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Naslov
On extremal ternary self-dual codes of length 36 and related symmetric 2-(36, 15, 6) designs

Autori
Rukavina, Sanja ; Tonchev, Vladimir D.

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, prošireni sažetak, znanstveni

Izvornik
Abstracts / - , 2023, 1-3

Skup
ALCOCRYPT - ALgebraic and combinatorial methods for COding and CRYPTography

Mjesto i datum
Marseille, Francuska, 20.02.2023. - 24.02.2023

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Pless symmetry code ; Hadamard matrix ; symmetric 2-design ; automorphism group

Sažetak
In this talk, we report the existence of a regular Hadamard matrix H∗ which is monomially equivalent to the Paley-Hadamard matrix of type II such that the symmetric 2-(36, 15, 6) design associated with H∗ has a full automorphism group of order 24 and its (0, 1)-incidence matrix spans a code equivalent to C(17). We classified all symmetric 2-(36, 15, 6) designs that admit an automorphism of order 2 and their incidence matrices span an extremal ternary self-dual code of length 36.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
NadSve-Sveučilište u Rijeci-uniri-prirod-18-45 - Dizajni, grafovi i linearni kodovi (Rukavina, Sanja, NadSve - UNIRI PROJEKTI 2018) ( CroRIS)

Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku

Profili:

Avatar Url Sanja Rukavina (autor)

Poveznice na cjeloviti tekst rada:

www.cirm-math.fr

Citiraj ovu publikaciju:

Rukavina, Sanja; Tonchev, Vladimir D.
On extremal ternary self-dual codes of length 36 and related symmetric 2-(36, 15, 6) designs // Abstracts
Marseille, Francuska, 2023. str. 1-3 (predavanje, međunarodna recenzija, prošireni sažetak, znanstveni)
Rukavina, S. & Tonchev, V. (2023) On extremal ternary self-dual codes of length 36 and related symmetric 2-(36, 15, 6) designs. U: Abstracts.
@article{article, author = {Rukavina, Sanja and Tonchev, Vladimir D.}, year = {2023}, pages = {1-3}, keywords = {Pless symmetry code, Hadamard matrix, symmetric 2-design, automorphism group}, title = {On extremal ternary self-dual codes of length 36 and related symmetric 2-(36, 15, 6) designs}, keyword = {Pless symmetry code, Hadamard matrix, symmetric 2-design, automorphism group}, publisherplace = {Marseille, Francuska} }
@article{article, author = {Rukavina, Sanja and Tonchev, Vladimir D.}, year = {2023}, pages = {1-3}, keywords = {Pless symmetry code, Hadamard matrix, symmetric 2-design, automorphism group}, title = {On extremal ternary self-dual codes of length 36 and related symmetric 2-(36, 15, 6) designs}, keyword = {Pless symmetry code, Hadamard matrix, symmetric 2-design, automorphism group}, publisherplace = {Marseille, Francuska} }




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