Results 21 to 30 of about 6,424 (109)
Some New Classes of Entanglement-Assisted Quantum MDS Codes Derived From Constacyclic Codes
IEEE Access, 2019 Although quantum maximal-distance-separable (MDS) codes that satisfy the quantum singleton bound have become an important research topic in the quantum coding theory, it is not an easy task to search for quantum MDS codes with the minimum distance that ...
Jianzhang Chen +4 more
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Applications of Constacyclic Codes to Some New Entanglement-Assisted Quantum MDS Codes
IEEE Access, 2019 Generally, it is not easy to construct quantum maximal-distance-separable (MDS) codes with the minimum distance greater than $\frac {q}{2}+1$ . The minimum distance of quantum MDS codes can achieve $\frac {q}{2}+1$ or exceed $\frac {q}{2}+1$ by ...
Jianzhang Chen +5 more
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Finding maximal torsion cosets on varieties [PDF]
, 2007 We describe a new algorithm for finding all maximal torsion cosets on varieties over $\G_m^n$. We illustrate the algorithm with some examples.The starting point for this study is the search for points on a given variety whose coordinates are roots of ...
Aliev, Iskander, Smyth, Christopher
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Cyclotomic coset association schemes
, 2001 For any abelian group G and subgroup A of Aut(G), let {Ci} be the A-orbits in G. The cyclotomic coset scheme is the commutative, non-symmetric association scheme with point set G and ith relation {(x, y) : xy–1 is in Ci}. This scheme admits the semidirect product of G by A as a group of automorphisms and is a generalization of cyclotomic association ...
Cushman, Ann, author +1 more
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Cyclotomic $q$-Schur superalgebras [PDF]
, 2022 The paper aims to introduce the cyclotomic $q$-Schur superalgebra via the permutation supermodules of the cyclotomic Hekce algebra and investigate its structure. In particular, we show that the cyclotomic $q$-Schur superalgebra is a cellular superalgebra
Zhao, Deke
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Cyclotomic Gaudin models with irregular singularities [PDF]
, 2017 Generalizing the construction of the cyclotomic Gaudin algebra from arXiv:1409.6937, we define the universal cyclotomic Gaudin algebra. It is a cyclotomic generalization of the Gaudin models with irregular singularities defined in arXiv:math/0612798.
Young, Charles +3 more
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A Note on Factorization and the Number of Irreducible Factors of xn − λ over Finite Fields
MathematicsLet Fq be a finite field, and let n be a positive integer such that gcd(q,n)=1. The irreducible factors of xn−1 and xn−λ are fundamental concepts with wide applications in cyclic codes and constacyclic codes.
Jinle Liu, Hongfeng Wu
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On strong integrability of the dressing cosets [PDF]
, 2021 We formulate sufficient conditions for the strong integrability of dressing cosets. We provide several sigma-model backgrounds solving those conditions, some of them are new and some of them were not so far formulated as the dressing cosets.
Klimcik, Ctirad
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Repeated-Root Constacyclic Codes of Length nps from Half-Cyclotomic Defining Sets
MathematicsRepeated-root constacyclic codes form an important class of algebraic error-correcting codes, combining the cyclic symmetry of constacyclic codes with the additional multiplicity structure produced by repeated roots.
Alhanouf Ali Alhomaidhi, Sami H. Saif
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Construction of quantum BCH code based on cyclotomic coset
Tongxin xuebao, 2021 Quantum-error-correcting code can overcome quantum decoherence efficiently, which is the key technology to realize quantum computers.A series of quantum BCH code was proposed based on classical codes.First, a general way of well-chosen cyclotomic coset was introduced.A sufficient condition was given to calculate the number of elements in cyclotomic ...
Lijuan XING, Zhuo LI
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