Zobrazeno 1 - 10
of 154
pro vyhledávání: '"Abidin Kaya"'
Publikováno v:
Advances in Mathematics of Communications. 17:1086-1100
In this paper, we construct new self-dual codes from a construction that involves a unique combination; \begin{document}$ 2 \times 2 $\end{document} block circulant matrices, group rings and a reverse circulant matrix. There are certain conditions, s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1741b6d6e9d26a4d88025be2729d5727
https://doi.org/10.3934/amc.2021039
https://doi.org/10.3934/amc.2021039
Autor:
Melek Yalcintas, Abidin Kaya
Publikováno v:
Energy Reports, Vol 3, Iss C, Pp 109-118 (2017)
In general, it is expected that residential electricity consumption decreases due to price increase. However, electricity consumption can also increase while electricity price increases, provided that income increases at the same rate or higher. Thus
Externí odkaz:
https://doaj.org/article/8b86c36061d74af2ae156f4c8d111f74
Publikováno v:
Discrete Mathematics, Algorithms and Applications.
In this paper, we investigate the structure and properties of skew negacyclic codes and skew quasi-negacyclic codes over the ring [Formula: see text] Some structural properties of [Formula: see text] are discussed, where [Formula: see text] is an aut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eb90d8d98c7189d49aa1bff5cf6c3598
https://doi.org/10.1142/s1793830922501865
https://doi.org/10.1142/s1793830922501865
Publikováno v:
Cryptography and Communications. 12:769-784
In this work, we describe a double bordered construction of self-dual codes from group rings. We show that this construction is effective for groups of order 2p where p is odd, over the rings $\mathbb {F}_{2}+u\mathbb {F}_{2}$ F 2 + u F 2 and $\mathb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b42b76025241fd34a46be53aee8c5609
https://doi.org/10.1007/s12095-019-00420-3
https://doi.org/10.1007/s12095-019-00420-3
Publikováno v:
Advances in Mathematics of Communications. 14:677-702
We describe eight composite constructions from group rings where the orders of the groups are 4 and 8, which are then applied to find self-dual codes of length 16 over \begin{document}$ \mathbb{F}_4 $\end{document} . These codes have binary images wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::609df3f2580c25aecb1d4054475507c0
https://doi.org/10.3934/amc.2020037
https://doi.org/10.3934/amc.2020037
Publikováno v:
Advances in Mathematics of Communications. 14:11-22
In this work, we study construction methods for self-dual and formally self-dual codes from group rings, arising from the cyclic group, the dihedral group, the dicyclic group and the semi-dihedral group. Using these constructions over the rings \begi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::72fdd68bb10c68f8d214eb397951ca57
https://doi.org/10.3934/amc.2020002
https://doi.org/10.3934/amc.2020002
Publikováno v:
Cryptography and Communications. 12:127-146
In this paper, we introduce a new bordered construction for self-dual codes using group rings. We consider constructions over the binary field, the family of rings Rk and the ring $\mathbb {F}_{4}+u\mathbb {F}_{4}$. We use groups of order 4, 12 and 2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3adc7f12ee83d4e7e5bada86211d1e99
https://doi.org/10.1007/s12095-019-00380-8
https://doi.org/10.1007/s12095-019-00380-8
Autor:
Bahattin Yildiz, Alexander Tylyshchak, Joe Gildea, Abidin Kaya, Adrian Korban, Steven T. Dougherty
Publikováno v:
Finite Fields and Their Applications. 57:108-127
We introduce a bordered construction over group rings for self-dual codes. We apply the constructions over the binary field and the ring F 2 + u F 2 , using groups of orders 9, 15, 21, 25, 27, 33 and 35 to find extremal binary self-dual codes of leng
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::125d8383722567a81f9669e4464cc39d
https://doi.org/10.1016/j.ffa.2019.02.004
https://doi.org/10.1016/j.ffa.2019.02.004
In this paper, we construct self-dual codes from a construction that involves both block circulant matrices and block quadratic residue circulant matrices. We provide conditions when this construction can yield self-dual codes. We construct self-dual
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b1b494aeea19ce95e8bbb7c483a55b8
In this work, we define composite matrices which are derived from group rings. We extend the idea of G-codes to composite G-codes. We show that these codes are ideals in a group ring, where the ring is a finite commutative Frobenius ring and G is an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00d8cff1186c05e9fb3ae069da325346