Finite Groups with Minimal CSS-subgroups

Autor: S. M. Al-Shammari, Rola Hijazi, A. A. Heliel

Publikováno v: European Journal of Pure and Applied Mathematics. 14:1002-1014

Let G be a finite group. A subgroup H of G is called SS-quasinormal in G if there is a supplement B of H to G such that H permutes with every Sylow subgroup of B. A subgroup H of G is called CSS-subgroup in G if there exists a normal subgroup K of G

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2a4be773bb5c1502d097d846c1a29a56
https://doi.org/10.29020/nybg.ejpam.v14i3.4036

NEW CONSTRUCTIONS OF ENTANGLEMENT-ASSISTED QUANTUM CODES

Autor: A. Allahmadi, Ferruh Özbudak, Ahmad N. Al-Kenani, Patrick Solé, Rola Hijazi, Najat Muthana

Publikováno v: Cryptography and Communications-Discrete Structures, Boolean Functions and Sequences
Cryptography and Communications-Discrete Structures, Boolean Functions and Sequences, Springer, In press, ⟨10.1007/s12095-021-00499-7⟩
Cryptography and Communications-Discrete Structures, Boolean Functions and Sequences, In press, ⟨10.1007/s12095-021-00499-7⟩

International audience; We present two new constructions of entanglement-assisted quantum error-correcting codes using some fundamental properties of (classical) linear codes in an effective way. The main ideas include linear complementary dual codes

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4508ff2c681007928f5514d865d0e7e1
https://hal.archives-ouvertes.fr/hal-03339152

On two classes of finite supersoluble groups

Autor: James C. Beidleman, Wafaa M. Fakieh, Adolfo Ballester-Bolinches, Rola Hijazi

Publikováno v: Communications in Algebra. 46:1110-1115

Let ℨ be a complete set of Sylow subgroups of a finite group G, that is, a set composed of a Sylow p-subgroup of G for each p dividing the order of G. A subgroup H of G is called ℨ-S-semipermutable if H permutes with every Sylow p-subgroup of G i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ee1d5054600d5d10330f83a1be65a0f1
https://doi.org/10.1080/00927872.2017.1335745

The influence of weakly $\mathfrak{Z}$-permutable subgroups on the structure of finite groups

Autor: Rola Hijazi, Taleb Mohsen Al-Gafri, Abdelrahman Heliel

Publikováno v: Publicationes Mathematicae Debrecen. 88:345-355

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b892edb1d561a24e2cd9c14bcd09d325
https://doi.org/10.5486/pmd.2016.7345

On the lifted Zetterberg code

Autor: Rola Hijazi, Patrick Solé, Hussain Alhazmi, Najat Muthana, Tor Helleseth, Adel Alahmadi

Publikováno v: Designs, Codes and Cryptography. 80:561-576

The even-weight subcode of a binary Zetterberg code is a cyclic code with generator polynomial $$g(x)=(x+1)p(x)$$g(x)=(x+1)p(x), where p(x) is the minimum polynomial over GF(2) of an element of order $$2^m+1$$2m+1 in $$GF(2^{2m})$$GF(22m) and m is ev

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8b7c9e68192c8e90ee5b80ff067995c4
https://doi.org/10.1007/s10623-015-0118-y