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Pregled bibliografske jedinice broj: 1182622

Self-orthogonal codes from equitable partitions of association schemes


Crnković, Dean; Rukavina, Sanja; Švob, Andrea
Self-orthogonal codes from equitable partitions of association schemes // Journal of algebraic combinatorics, 55 (2022), 157-171 doi:10.1007/s10801-021-01104-z (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 1182622 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Self-orthogonal codes from equitable partitions of association schemes

Autori
Crnković, Dean ; Rukavina, Sanja ; Švob, Andrea

Izvornik
Journal of algebraic combinatorics (0925-9899) 55 (2022); 157-171

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
association scheme ; equitable partition ; self-orthogonal code ; subspace code

Sažetak
We give a method of constructing self-orthogonal codes from equitable partitions of association schemes. By applying this method we construct self-orthogonal codes from some distance-regular graphs. Some of the obtained codes are optimal. Further, we introduce a notion of self-orthogonal subspace codes. We show that under some conditions equitable partitions of association schemes yield such self-orthogonal subspace codes and we give some examples from distance-regular graphs.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
NadSve-Sveučilište u Rijeci-uniri-prirod-18-51 - Kodovi, grupe i kombinatoričke strukture (Crnković, Dean, NadSve ) ( CroRIS)
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 Andrea Švob (autor)

Avatar Url Sanja Rukavina (autor)

Avatar Url Dean Crnković (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Crnković, Dean; Rukavina, Sanja; Švob, Andrea
Self-orthogonal codes from equitable partitions of association schemes // Journal of algebraic combinatorics, 55 (2022), 157-171 doi:10.1007/s10801-021-01104-z (međunarodna recenzija, članak, znanstveni)
Crnković, D., Rukavina, S. & Švob, A. (2022) Self-orthogonal codes from equitable partitions of association schemes. Journal of algebraic combinatorics, 55, 157-171 doi:10.1007/s10801-021-01104-z.
@article{article, author = {Crnkovi\'{c}, Dean and Rukavina, Sanja and \v{S}vob, Andrea}, year = {2022}, pages = {157-171}, DOI = {10.1007/s10801-021-01104-z}, keywords = {association scheme, equitable partition, self-orthogonal code, subspace code}, journal = {Journal of algebraic combinatorics}, doi = {10.1007/s10801-021-01104-z}, volume = {55}, issn = {0925-9899}, title = {Self-orthogonal codes from equitable partitions of association schemes}, keyword = {association scheme, equitable partition, self-orthogonal code, subspace code} }
@article{article, author = {Crnkovi\'{c}, Dean and Rukavina, Sanja and \v{S}vob, Andrea}, year = {2022}, pages = {157-171}, DOI = {10.1007/s10801-021-01104-z}, keywords = {association scheme, equitable partition, self-orthogonal code, subspace code}, journal = {Journal of algebraic combinatorics}, doi = {10.1007/s10801-021-01104-z}, volume = {55}, issn = {0925-9899}, title = {Self-orthogonal codes from equitable partitions of association schemes}, keyword = {association scheme, equitable partition, self-orthogonal code, subspace code} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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