Results 11 to 20 of about 429,869 (330)
The mass formula for self-orthogonal and self-dual codes over a non-unitary commutative ring
AIMS Mathematics, 2023 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 ...
Adel Alahmadi +2 more
doaj +1 more source
Mass Formula for Self-Orthogonal and Self-Dual Codes over Non-Unital Rings of Order Four
Mathematics, 2023 We study the structure of self-orthogonal and self-dual codes over two non-unital rings of order four, namely, the commutative ring I=a,b|2a=2b=0,a2=b,ab=0 and the noncommutative ring E=a,b|2a=2b=0,a2=a,b2=b,ab=a,ba=b.
Adel Alahmadi +4 more
doaj +1 more source
Group Algebra Modules. II [PDF]
Canadian Journal of Mathematics, 1967 The present paper began as a natural outgrowth of our first paper, where we characterized the module homomorphisms from group algebras into a fairly restrictive class of group algebra modules. We now investigate module homomorphisms from group algebras into a more general class of group algebra modules.
Gulick, S. L. +2 more
openaire +2 more sources
On Cohomology of Simple Modules for Modular Classical Lie Algebras
Axioms, 2022 In this article, we obtain some cohomology of classical Lie algebras over an algebraically closed field of characteristic p>h, where h is a Coxeter number, with coefficients in simple modules.
Sherali S. Ibraev +2 more
doaj +1 more source
Monothetic algebraic groups [PDF]
Journal of the Australian Mathematical Society, 2007 AbstractWe call an algebraic group monothetic if it possesses a dense cyclic subgroup. For an arbitrary field k we describe the structure of all, not necessarily affine, monothetic k-groups G and determine in which cases G has a k-rational generator.
FALCONE, Giovanni +2 more
openaire +4 more sources
A Strong Hybrid S-Box Scheme Based on Chaos, 2D Cellular Automata and Algebraic Structure
IEEE Access, 2022 Substitution-boxes are the main deciding components in symmetric-key cryptosystems for resisting many cryptanalytic attacks. It has been a challenging task for the designers to construct strong S-box which satisfies multiple cryptographic properties ...
Amirul Haque +4 more
doaj +1 more source
On simple modules with singular highest weights for so2l+1(K)
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 In this paper, we study formal characters of simple modules with singular highest weights over classical Lie algebras of type B over an algebraically closed field of characteristic p ≥ h, where h is the Coxeter number. Assume that the highest weights of
Sh.Sh. Ibraev +2 more
doaj +1 more source
The length and depth of algebraic groups [PDF]
, 2018 Let $G$ be a connected algebraic group. An unrefinable chain of $G$ is a chain of subgroups $G = G_0 > G_1 > \cdots > G_t = 1$, where each $G_i$ is a maximal connected subgroup of $G_{i-1}$. We introduce the notion of the length (respectively, depth) of $
Burness, Timothy C. +2 more
core +3 more sources
Double circulant codes for the Lee and Euclidean distance
AIMS Mathematics, 2023 This paper investigates double circulant codes of length $ 2n $ over $ \mathbb{Z}_{{{p^m}}} $ where $ p $ is an odd prime, $ n $ goes to infinity, and $ m\ge 1 $ is a fixed integer. Using random coding, we obtain families of asymptotically good Lee codes
Adel Alahmadi +4 more
doaj +1 more source
GENERALISING GROUP ALGEBRAS [PDF]
Journal of the London Mathematical Society, 2005 This paper has been ...
openaire +4 more sources