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Photochemical permutation of thiazoles, isothiazoles and other azoles. [PDF]
NatureThiazoles and isothiazoles are privileged motifs in drug and agrochemical discovery1,2. The synthesis of these derivatives is generally approached, designed and developed on a case-by-case basis. Sometimes, the lack of robust synthesis methods to a given
Roure B +12 more
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On the symmetry of good nonlinear codes [PDF]
, 1970 It is shown that there are arbitrarily long "good" (in the sense of Gilbert) binary block codes that are preserved under very large permutation groups. This result contrasts sharply with the properties of linear codes: it is conjectured that long cyclic ...
McEliece, Robert J.
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Mathematics, 2020 The crossing number cr ( G ) of a graph G is the minimum number of edge crossings over all drawings of G in the plane. The main goal of the paper is to state the crossing number of the join product K 2 , 3 + C n for the complete ...
Michal Staš
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On knot separability of hypergraphs and its application towards infectious disease management
AIMS Mathematics, 2023 The article deals with some theoretical aspects of hypergraph connectivity from the knot view. The strength of knots is defined and investigates some of their properties.
Raju Doley, Saifur Rahman, Gayatri Das
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4-CYCLE FREE APM LDPC CODES WITH AN EXPLICIT CONSTRUCTION [PDF]
Journal of Algebraic Systems, 2021 Recently, a class of low-density parity-check codes based on affine permutation matrices, called APM-LDPC codes, have been considered which have some advantages than quasi-cyclic (QC) LDPC codes in terms of minimum-distance, cycle distribution, and error-
Z. Gholami, M. Gholami
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Descent sets of cyclic permutations [PDF]
Advances in Applied Mathematics, 2011 22 pages, final journal ...
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Chosen-Key Secure Even-Mansour Cipher from a Single Permutation
IACR Transactions on Symmetric Cryptology, 2023 At EUROCRYPT 2015, Cogliati and Seurin proved that the 4-round Iterated Even-Mansour (IEM) cipher with Independent random Permutations and no key schedule EMIP4(k, u) = k⊕p4 ( k⊕p3 ( k⊕p2 (k⊕p1 (k⊕u)))) is sequentially indifferentiable from an ideal ...
Shanjie Xu, Qi Da, Chun Guo
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, 1999 We apply the new orbifold duality transformations to discuss the special case of cyclic coset orbifolds in further detail. We focus in particular on the case of the interacting cyclic coset orbifolds, whose untwisted sectors are Z_\lambda(permutation ...
Bardakçi K. +8 more
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On the class of square Petrie matrices induced by cyclic permutations
International Journal of Mathematics and Mathematical Sciences, 2004 Let n≥2 be an integer and let P={1,2,…,n,n+1}. Let Zp denote the finite field {0,1,2,…,p−1}, where p≥2 is a prime. Then every map σ on P determines a real n×n Petrie matrix Aσ which is known to contain information on the dynamical properties such as ...
Bau-Sen Du
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A linear time algorithm for the orbit problem over cyclic groups [PDF]
, 2014 The orbit problem is at the heart of symmetry reduction methods for model checking concurrent systems. It asks whether two given configurations in a concurrent system (represented as finite strings over some finite alphabet) are in the same orbit with ...
Anthony Widjaja, Lin, Sanming Zhou
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