Results 21 to 30 of about 217 (158)
A Kind of Quaternary Sequences of Period 2pmqn and Their Linear Complexity
Complexity, 2020 Sequences with high linear complexity have wide applications in cryptography. In this paper, a new class of quaternary sequences over F4 with period 2pmqn is constructed using generalized cyclotomic classes.
Qiuyan Wang +3 more
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The automorphisms and error orbits of Reed – Solomon codes
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2020 The purpose of this work with its results presented in the article was to develop and transfer to the class of Reed – Solomon codes (RS-codes) the basic provisions of the theory of syndrome norms (TNS), previously developed for the noise-resistant coding
S. I. Semyonov, V. A. Lipnitsky
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Construction of Standard Solid Sudoku Cubes and 3D Sudoku Puzzles
IEEE Access, 2022 In this paper, standard solid Sudoku cubes (SSSCs), a three-dimensional (3D) extension of Sudoku tables, are introduced, and a method to construct these cubes is presented. This is the first class of standard solid Sudoku cubes. An SSSC of order $m$ is
Mehrab Najafian +2 more
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Class numbers and 𝜇-invariants of cyclotomic fields [PDF]
Proceedings of the American Mathematical Society, 1974 We give a new upper bound for the μ \mu
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On the first factor of the class number of a cyclotomic field [PDF]
Proceedings of the American Mathematical Society, 1982 Let p p be an odd prime. h 1 ( p ) {h_1}(p) is the first factor of the class number of field Q ( ζ p ) Q({\zeta _p}) . We proved that \[
Feng, Keqin, Vandiver, H. S.
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Constructions of pseudorandom binary lattices using cyclotomic classes in finite fields
Open Mathematics, 2020 In 2006, Hubert, Mauduit and Sárközy extended the notion of binary sequences to n-dimensional binary lattices and introduced the measures of pseudorandomness of binary lattices.
Chen Xiaolin
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RAY CLASS GROUPS OF QUADRATIC AND CYCLOTOMIC FIELDS [PDF]
International Journal of Number Theory, 2010 This paper studies Galois extensions over real quadratic number fields or cyclotomic number fields ramified only at one prime. In both cases, the ray class groups are computed, and they give restrictions on the finite groups that can occur as such Galois groups.
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Class numbers of cyclotomic fields
Journal of Number Theory, 1985 Let \(h^+_ n\) be the class number of \({\mathbb{Q}}(\cos 2\pi /n)\), the maximal real subfield of the nth cyclotomic field. In this paper the authors show that if the Generalized Riemann Hypothesis holds, then \(h^+_ p>p\) for \(p=11 290 018 777\). In a more general context, they show without the GRH that if \(\epsilon >0\), there are infinitely many ...
Cornell, Gary, Washington, Lawrence C
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A Complementary Result on the Construction of Quadratic Cyclotomic Classes
, 2022 Side-channel analysis (SCA) is a general name for cryptanalytic methods based on side information gathered by measuring and analyzing of various physical parameters. Threshold implementation (TI) is one of the successful countermeasure techniques for some types of SCA. Within this scope, Nikova et al.
Kamil Otal, Eda Tekin
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The Ideal Class Groups of Two Cyclotomic Fields [PDF]
Proceedings of the American Mathematical Society, 1980 It is known that there are exactly two cyclotomic fields with class numbers equal to 8, namely the fields of 29th and 68th roots of unity. We show by elementary methods how to determine the structure of the ideal class groups of these fields.
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