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Pregled bibliografske jedinice broj: 1137533

Self-orthogonal codes from row orbit matrices of strongly regular graphs


Maksimović, Marija
Self-orthogonal codes from row orbit matrices of strongly regular graphs // Sarajevo journal of mathematics, 15 (2019), 28; 309-322 (međunarodna recenzija, članak, ostalo)


CROSBI ID: 1137533 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Self-orthogonal codes from row orbit matrices of strongly regular graphs

Autori
Maksimović, Marija

Izvornik
Sarajevo journal of mathematics (1840-0655) 15 (2019), 28; 309-322

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

Ključne riječi
Self-orthogonal code, strongly regular graph, block design

Sažetak
We show that under certain conditions submatrices of row orbit matrices of strongly regular graphs span self-orthogonal codes. In order to demonstrate this method of construction, we construct self- orthogonal ternary linear codes from orbit matrices of the strongly regular graphs with parameters (70, 27, 12, 9). Also we construct non self-orthogonal binary linear codes from these orbit matrices. Further, we obtain strongly regular graphs and block de- signs from codewords of the constructed codes.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)

Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku

Profili:

Avatar Url Marija Maksimović (autor)


Citiraj ovu publikaciju:

Maksimović, Marija
Self-orthogonal codes from row orbit matrices of strongly regular graphs // Sarajevo journal of mathematics, 15 (2019), 28; 309-322 (međunarodna recenzija, članak, ostalo)
Maksimović, M. (2019) Self-orthogonal codes from row orbit matrices of strongly regular graphs. Sarajevo journal of mathematics, 15 (28), 309-322.
@article{article, author = {Maksimovi\'{c}, Marija}, year = {2019}, pages = {309-322}, keywords = {Self-orthogonal code, strongly regular graph, block design}, journal = {Sarajevo journal of mathematics}, volume = {15}, number = {28}, issn = {1840-0655}, title = {Self-orthogonal codes from row orbit matrices of strongly regular graphs}, keyword = {Self-orthogonal code, strongly regular graph, block design} }
@article{article, author = {Maksimovi\'{c}, Marija}, year = {2019}, pages = {309-322}, keywords = {Self-orthogonal code, strongly regular graph, block design}, journal = {Sarajevo journal of mathematics}, volume = {15}, number = {28}, issn = {1840-0655}, title = {Self-orthogonal codes from row orbit matrices of strongly regular graphs}, keyword = {Self-orthogonal code, strongly regular graph, block design} }




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