Now showing items 1-20 of 24

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      Cyclic codes over {Z_2+ uZ_2+ u^ 2Z_2+\ldots+ u^{k-1} Z_2}

      Al-Ashker, Mohammed M.; Hamoudeh, Mohammed (The Scientific and Technological Research Council of Turkey, 2011)
      In this paper, we study the structure of cyclic codes of an arbitrary length n over the ring Z_2+ uZ_2+ u^ 2Z_2+\ldots+ u^{k-1} Z_2, where u^ k= 0. Also we study the rank for these codes, and we find their minimal spanning ...
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      Idempotent generators of cyclic and quadratic residue codes over

      Al-Ashker, Mohammed M. (الجامعة الإسلامية - غزة, 2013)
      In this paper we study idempotent generators of cyclic codes and quadratic residue codes over R = , where and . The forms of some idempotents over this ring are given, the quadratic residue codes are defined in forms of ...
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      LINAR ADDITIVE CODES OVER Z2× Z2

      Al-Ashker, Mohammed M.; El-atrash, Mohammed S.; Azab, S.; Zayed, M (الجامعة الإسلامية - غزة, 2004)
      LINAR ADDITIVE CODES OVER Z2× Z2
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      Linear codes over F2+ uF2

      El-atrash, Mohammed S.; Al-Ashker, Mohammed M. (2003)
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      LINEAR CODES OVER THE RIBG F2+UF2

      Al-Ashker, Mohammed M.; El-atrash, Mohammed S.; Azab, S.; Zayed, M (الجامعة الإسلامية - غزة, 2003)
      LINEAR CODES OVER THE RIBG F2+UF2
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      LINEAR CODES OVER Z4 USING ALMOST-GREEDY ALGORITHM

      Al-Ashker, Mohammed M.; El-atrash, Mohammed S.; Azab, S.; Zayed, M (الجامعة الإسلامية - غزة, 2003)
      In this paper we prove thate the almost-greedy and almost self- orthogonal greedy codes over Z4 with Lee distance are linear when they are generated by using the B-ordering and the almost-greedy algorithm of any ordered ...
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      LINEAR CODES OVER Z4 USING ALMOST-GREEDY ALGORITHM

      Al-Ashker, Mohammed M.; El-atrash, Mohammed S.; Azab, S.; Zayed, M (الجامعة الإسلامية - غزة, 2003)
      In this paper we prove thate the almost-greedy and almost self- orthogonal greedy codes over Z4 with Lee distance are linear when they are generated by using the B-ordering and the almost-greedy algorithm of any ordered ...
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      MACDONALD CODES OVER THE RING

      El-Naowq, Fayek R.; Al-Ashker, Mohammed M. (الجامعة الإسلامية - غزة, 2005)
      MACDONALD CODES OVER THE RING
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      MacDonald codes over the ring F2+ uF2+ u2F2

      Al-Ashker, Mohammed M. (2010)
      Recently codes over finite rings have received much attention. In [1] MacDonald codes of type α and β over the ring F2+ uF2 were given as a generalization of MacDonald codes over Z4 [5]. In this paper, we construct MacDonald ...
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      MacDonald codes over the ring F3+ vF3

      Cengellenmis, Yasemin; Al-Ashker, Mohammed M. (2012)
      The binary MacDonald codes were introduced in [9] and q− ary version (q≥ 2) MacDonald code over the finite field Fq was studied in [10]. In [5], CJ Colbourn and M. Gupta obtained two families of MacDonald codes over the ...
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      On 2-absorbing Primal Hyperideals Of Multiplicative Hyperrings

      Ashour, Arwa E.; Al-Ashker, Mohammed M.; Subouh, Sana Y. (2020-02-03)
      Let R be a commutative multiplicative hyperring. In this paper, we introduce the concept of 2-absorbing primal hyperideals. A non zero hyperideal I of a multiplicative hyperring R is called a 2-absorbing primal hyperideal ...
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      On Almost 2-Absorbing Primary Sub-modules

      Ashour, Arwa E.; Naji, Osama A.; Al-Ashker, Mohammed M. (الجامعة الإسلامية - غزة, 2017)
      Let R be a commutative ring with identity and M be a unitary R-module, In this paper we introduce the concept of almost 2-absorbing primary sub-modules as a new generalization of 2-absorbing sub-modules. We study some basic ...
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      primal hyperideal of multiplicative hyperrings

      Al-Ashker, Mohammed M.; ashour, Arwa; Sabouh, Sanna (Palestine journal of mathematics1, 2021-01-04)
      Abstract In this paper, we introduce the concepts of adjoint, n-adjoint of a hyperideals and primal and n-primly hyperideals of a commutative multiplicative hyperrings. Many results con- cerning prime, n-primly, primary ...
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      Primary Ideals of Lie Algebras

      Ashour, Arwa; AL-Ashker, Mohammed M.; AL-Aydi, Mohammed A. (palestine journal of mathematics, 2021-01-11)
      In this paper, we introduce and advance the basic theory of primary ideals for Lie algebras and investigate their properties in details illustrated by several examples. We give some characterizations for ideals to be primary ...
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      Quadratic residue codes over R=F_p+uF_p+vF_p+uvF_p+V^2F_p+uv^2F_p

      Al-Shorbassi, Ramez; Al-Ashker, Mohammed M.; Ismail, Gamal (International journal of Tomography & Simulation, 2021-03-04)
      In this paper, we study quadratic residue codes of prime length q over the ring R = F_p + uF_p + vF_p + uvF_p + v^2 F_p + uv^2 F_p, where v^3 = v, u^2 = 1,uv = vu, and p is an odd prime. Quadratic residue codes and their ...
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      Simplex Codes of Type γ over F3+ vF3

      Cengellenmis, Yasemin; Al-Ashker, Mohammed M. (2010)
      In this paper, it is constructed simplex linear codes over the ring F3+ vF3 of type γ, where v 2= 1 and F3={0, 1, 2} and obtained the minimum Hamming, Lee and Bachoc weights of this codes.
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      Simplex Codes over the Ring F~ 2+ uF~ 2

      Al-Ashker, Mohammed M. (Dhahran, Saudi Arabia: King Fahd University of Petroleum and Minerals, c1997-, 2005)
      In this paper, we obtain simplex codes over the ring F2+ uF2. These codes are the generalization of simplex codes over the ring¢ 4.
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      Simplex Codes Over the Ring\sum_ {n= 0}^ su^ n F_2

      Al-Ashker, Mohammed M. (The Scientific and Technological Research Council of Turkey, 2005)
      In this paper, we introduce simplex linear codes over the ring\sum_ {n= 0}^{n= s} u^ n F_2 of types\alpha and\beta, where u^{s+ 1}= 0. And we determine their properties. These codes are an extension and generalization of ...
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      Simplex Linear Codes Over the Ring F2+ vF2

      Al-Ashker, Mohammed M.; Isleem, Ibtisam (جامعة النجاح الوطنية, 2008)
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      Skew constacyclic codes over Fp+ vFp

      Al-Ashker, Mohammed M.; Abu-Jazar, Akram Qasem Mahmoud (2016)
      In this paper, we study a special class of linear codes called skew constacyclic codes over finite non-chain rings of the form Fp+ vFp, where p is an odd prime and v2= v. We use ideal θv-constacyclic codes to define skew ...