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Polynomial invariants of G-orbit errors of BCH codes and its application
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2019 The article addresses the further development of methods of BCH codes norm decoding. The authors propose to use new syndrome invariants - polynomial invariants of automorphism group G of a family of BCH codes.
V. A. Lipnitski, E. V. Sereda
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The Basis Invariant of Generalized n-Cube Symmetries Group with Odd Degrees
Mathematics, 2021 The basis polynomial invariants with even degrees relatively to the symmetries group were described in cited literature. Here, the polynomial invariants with odd degrees are constructed.
Marina Bershadsky, Božidar Ivanković
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Polynomial Invariants for Cactuses
SSRN Electronic Journal, 2022 9 pages, 2 ...
Leo van Iersel +2 more
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On topological polynomials and indices for metal-organic and cuboctahedral bimetallic networks
Main Group Metal Chemistry, 2022 A molecular graph consists of bonds and atoms, where atoms are present as vertices and bonds are present as edges. We can look at topological invariants and topological polynomials that furnish bioactivity and physio-chemical features for such molecular ...
Yasmeen Farhana +4 more
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The arithmetic Tutte polynomials of the classical root systems [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Many combinatorial and topological invariants of a hyperplane arrangement can be computed in terms of its Tutte polynomial. Similarly, many invariants of a hypertoric arrangement can be computed in terms of its arithmetic Tutte polynomial. We compute the
Federico Ardila +2 more
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The Structure of Local Rings with Singleton Basis and Their Enumeration
Mathematics, 2022 A local ring is an associative ring with unique maximal ideal. We associate with each Artinian local ring with singleton basis four invariants (positive integers) p,n,s,t.
Yousef Alkhamees, Sami Alabiad
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Properties of triple error orbits G and their invariants in Bose – Chaudhuri – Hocquenghem codes C7
Весці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2019 This work is the further development of the theory of norms of syndromes: the theory of polynomial invariants of G-orbits of errors expands with the group G of automorphisms of binary cyclic BCH codes obtained by joining the degrees of cyclotomic ...
V. A. Lipnitski, A. U. Serada
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Polynomial Invariants for Affine Programs [PDF]
Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science, 2018 We exhibit an algorithm to compute the strongest polynomial (or algebraic) invariants that hold at each location of a given affine program (i.e., a program having only non-deterministic (as opposed to conditional) branching and all of whose assignments are given by affine expressions). Our main tool is an algebraic result of independent interest: given
Hrushovski, Ehud +3 more
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On local invariants of pure three-qubit states [PDF]
, 2001 We study invariants of three-qubit states under local unitary transformations, i.e. functions on the space of entanglement types, which is known to have dimension 6.
Acin A +17 more
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On the generalized Davenport constant and the Noether number [PDF]
, 2013 Known results on the generalized Davenport constant related to zero-sum sequences over a finite abelian group are extended to the generalized Noether number related to the rings of polynomial invariants of an arbitrary finite group.
A Geroldinger +19 more
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