Results 51 to 60 of about 12,890,521 (357)
Enumeration of Involutions of Finite Rings
Journal of New Theory, 2021 In this paper, we study a special class of elements in the finite commutative rings called involutions. An involution of a ring R is an element with the property that x^2-1=0 for some x in R.
Sajana Shaık, Chalapathi Tekurı
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New classes of permutation binomials and permutation trinomials over finite fields [PDF]
Finite Fields Their Appl., 2015 Permutation polynomials over finite fields play important roles in finite fields theory. They also have wide applications in many areas of science and engineering such as coding theory, cryptography, combinatorial design, communication theory and so on ...
Kangquan Li, Longjiang Qu, Xi Chen
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Counting curves over finite fields
, 2014 This is a survey on recent results on counting of curves over finite fields. It reviews various results on the maximum number of points on a curve of genus g over a finite field of cardinality q, but the main emphasis is on results on the Euler ...
van der Geer, Gerard
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Superregular Matrices over Finite Fields
MathematicsA trivially zero minor of a matrix is a minor having all its terms in the Leibniz formula equal to zero. A matrix is superregular if all of its minors that are not trivially zero are nonzero.
Paulo Almeida +2 more
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The GL(n,Fp)invariance of the Potts Hamiltonian
International Journal of Mathematics and Mathematical Sciences, 1997 After defining a meanfield by arithmetic means, using multiplicative characters of finite fields, its Potts Hamiltonian is exactly computed. Moreover, it proves to be invariant with respect to every change of basis in Fq over the prime field Fp.
Mihai Caragiu, Mellita Caragiu
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Method of restoring multivariable Boolean function from its derivative
Advanced Engineering Research, 2017 Introduction. Boolean functions of several variables are of paramount importance in the coding theory and cryptography. The compositions of these functions are used in a set of the symmetric cryptosystems; therewith, some error-control codes, such as ...
Alexander V. Mazurenko +1 more
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On Some Computational and Applications of Finite Fields
Ratio Mathematica, 2020 Finite field is a wide topic in mathematics. Consequently, none can talk about the whole contents of finite fields. That is why this research focuses on small content of finite fields such as polynomials computational, ring of integers modulo p where p ...
Jean Pierre Muhirwa
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Algebraic Cayley Graphs over Finite Fields
, 2013 A new algebraic Cayley graph is constructed using finite fields. Its connectedness and diameter bound are studied via Weil's estimate for character sums.
Lu, Mei +3 more
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Geometric realization of electronic elections based on threshold secret sharing
Advanced Engineering Research, 2018 Introduction. One of the tasks arising in cryptography is to ensure a safe and fair conduct of e-voting. This paper details the algorithm of electronic elections particularly that part which deals with the cryptographic security.
A. V. Mazurenko, V. A. Stukopin
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Towers of Function Fields over Non-prime Finite Fields [PDF]
, 2013 Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvement on all known lower bounds for Ihara's quantity $A(\ell)$, for $\ell = p^n$ with $p$ prime and $n>3$
Bassa, Alp +3 more
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