Results 21 to 30 of about 1,341,218 (213)
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 and when the length of the code is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ-constacyclic codes is established ...
Castillo-Guillén C. A. +1 more
doaj +1 more source
On Quantum Stabilizer Codes derived from Local Frobenius Rings [PDF]
Finite Fields Their Appl., 2017 In this paper we consider stabilizer codes over local Frobenius rings. First, we study the relative minimum distances of a stabilizer code and its reduction onto the residue field.
H. Gluesing-Luerssen, Tefjol Pllaha
semanticscholar +1 more source
Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 The family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain rings with p5 elements (p a prime) and nilpotency index 4 are given.
Castillo-Guillén C. A. +1 more
doaj +1 more source
On bounds for codes over Frobenius rings under homogeneous weights
Discrete Mathematics, 2004 Marcus Greferath, Michael E O'Sullivan
exaly +2 more sources
Double bordered constructions of self-dual codes from group rings over Frobenius rings
Cryptography and Communications, 2020 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 2 p where p is odd, over the rings F 2 + u F 2 $\mathbb {F}_{2}+u\mathbb {F}_{2}$ and F 4 + u F ...
J. Gildea +3 more
semanticscholar +1 more source
Noise Free Fully Homomorphic Encryption Scheme Over Non-Associative Algebra
IEEE Access, 2020 Among several approaches to privacy-preserving cryptographic schemes, we have concentrated on noise-free homomorphic encryption. It is a symmetric key encryption that supports homomorphic operations on encrypted data.
Iqra Mustafa +6 more
doaj +1 more source
Zassenhaus conjecture for central extensions of S5 [PDF]
, 2008 We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S5 and for the general linear group GLð2; 5Þ. The first result, together with others from the literature,
Bódi, Viktor +4 more
core +1 more source
Frobenius and valuation rings [PDF]
Algebra & Number Theory, 2016 The behavior of the Frobenius map is investigated for valuation rings of prime characteristic. We show that valuation rings are always F-pure. We introduce a generalization of the notion of strong F-regularity, which we call F-pure regularity, and show that a valuation ring is F-pure regular if and only if it is Noetherian.
Datta, Rankeya, Smith, Karen
openaire +2 more sources
Parity check systems of nonlinear codes over finite commutative Frobenius rings [PDF]
Advances in Mathematics of Communications, 2016 The concept of parity check matrices of linear binary codes has been extended by Heden [9] to parity check systems of nonlinear binary codes. In the present paper we extend this concept to parity check systems of nonlinear codes over finite commutative ...
Thomas Westerbäck
semanticscholar +1 more source
The Frobenius Complexity of Hibi Rings [PDF]
, 2018 We study the Frobenius complexity of Hibi rings over fields of characteristic p. In particular, for a certain class of Hibi rings (which we call anticanonical level), we compute the limit of the Frobenius complexity as p goes to infinity.
Janet Rose Page (7959728)
core +3 more sources