Results 1 to 10 of about 1,462 (183)
Symplectic QSD, LCD, and ACD Codes over a Non-Commutative Non-Unitary Ring of Order Nine. [PDF]
Entropy (Basel)We introduce quasi self-dual (QSD), linear complementary dual (LCD), and additive complementary dual (ACD) codes for the symplectic inner product over a non-commutative non-unitary ring of order 9. We establish connections with symplectic–self-orthogonal and LCD ternary codes. We characterize right-symplectic ACD codes.
Manseri S +3 more
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The Build-Up Construction for Codes over a Commutative Non-Unitary Ring of Order 9
MathematicsThe build-up method is a powerful class of propagation rules that generate self-dual codes over finite fields and unitary rings. Recently, it was extended to non-unitary rings of order 4, to generate quasi self-dual codes.
Adel Alahmadi +4 more
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The Mass Formula for Self-Orthogonal and Self-Dual Codes over a Non-Unitary Non-Commutative Ring
MathematicsIn this paper, we derive a mass formula for the self-orthogonal codes and self-dual codes over a non-commutative non-unitary ring, namely, Ep=a,b|pa=pb=0,a2=a,b2=b,ab=a,ba=b, where a≠b and p is any odd prime.
Adel Alahmadi +4 more
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The mass formula for self-orthogonal and self-dual codes over a non-unitary commutative ring
AIMS Mathematics, 2023 <abstract><p>In this paper, we establish a mass formula for self-orthogonal codes, quasi self-dual codes, and self-dual codes over commutative non-unital rings $ {{\mathit {I}_p}} = \left < a, b | pa = pb = 0, a^2 = b, ab = 0 \right > $, where $ p $ is an odd prime.
Alahmadi, Adel +2 more
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Melville and the Vortex Theory of Matter
European Journal of American Studies, 2023 The brief reference to the Cartesian vortex in Moby-Dick has already been discussed in numerous specialized articles, usually in terms of the history of ideas, e.g. in two articles by D. C. Leonard (1979; 1980).
Paweł Stachura
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New Journal of Physics, 2021 Equilibration of observables in closed quantum systems that are described by a unitary time evolution is a meanwhile well-established phenomenon apart from a few equally well-established exceptions.
Patrick Vorndamme +3 more
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Unitary Invertible Graphs of Finite Rings
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a finite commutative ring with unity. In this paper, we consider set of additive and mutual additive inverses of group units of R and obtain interrelations between them.
Chalapathi Tekuri, Sajana Shaik
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Subrings of I-rings and S-rings
International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
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Relativistic Persistent Currents in Ideal Aharonov-Bohm Rings and Cylinders
Annals of West University of Timisoara: Physics, 2016 In this report we revisit the results obtained in [1, 2] where the relativistic Aharonov-Bohm was studied for the first time. The method is based on the exact solutions of the complete (1+3)-dimensional Dirac equation of fermions moving in ideal Aharonov-
Cotăescu Ion I.
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Symplectic codes over a non-unitary ring
Journal of Algebra and Its ApplicationsIn this paper, we consider the commutative non-unitary ring of order four defined as [Formula: see text] Self-orthogonal codes for a symplectic inner product over [Formula: see text] are introduced. A mass formula to enumerate them under symplectic equivalence is given. An application is a classification of such codes in short lengths.
Sarra Manseri +3 more
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