[PDF] Top 20 On some permutation polynomials over finite fields
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On some permutation polynomials over finite fields
... Permutation binomials and the sequence {an } The main tool in the proof of Theorem 1.1 is the following well-known theorem of Hermite [3, Theorem 7.4].. Theorem 3.1 Hermite’s criterion.[r] ... See full document
10
Several Classes of Permutation Polynomials over Finite Fields
... of finite prime fields and by Dickson [4] for arbitrary finite ...fields. Permutation polynomials have been studied extensively and have important applications in coding theory, ... See full document
7
On permutation polynomials over finite fields
... SCHMIDT, W.M., Equations Over Finite Fields, An Elementary Approach, Springer Lecture Notes, 536 1976..[r] ... See full document
9
A Preliminary Investigation into the Mediating Role of Positive Affect in the Development of Posttraumatic Stress Disorder among African American Female Sexual Assault Survivors
... functions over finite fields are a major tool in computer science and electrical engineering and have a long ...history. Some of its aspects, like interpolation and permutation ... See full document
51
Galois Groups of Polynomials and the Construction of Finite Fields
... constructing finite fields with the aid of Galois groups of polynomials of small ...these polynomials, their base fields and their splitting fields ...on some aspects of ... See full document
7
Fast Evaluation of Polynomials over Binary Finite Fields and Application to Side-channel Countermeasures
... Generic Higher-Order Masking. The Rivain-Prouff masking scheme is the first provably secure higher-order masking technique for AES [RP10]. The main idea of this method is to perform secure monomial evaluation with d ... See full document
20
A new public key system based on Polynomials over finite fields GF(2)
... Public-key cryptography started in 1976 with publication of pioneering work of Diffie and Hell- man [1] called DH key exchange and in 1978 with another fundamental work by Rivest, Shamir and Adleman [2], called RSA ... See full document
5
Extension fields and Galois Theory
... Finite fields are used in application of coding theory, many codes are Constructed as subspaces of vector spaces over finite fields ...Equations over finite fields ... See full document
7
Cubic surfaces over finite fields
... defined over a field K are isomorphic over K involves testing for equivalence of cubic polynomials in four variables defined over K under an action of K ∗ × GL(4, K); K ∗ acts by scaling and ... See full document
104
P R O FI L E S OFLARGE COM BINATORIAL STRUCTURES
... of polynomials in finite fields, connected components of certain forests, prime factor- izations of integers, and a variety of other combinatorial objects have a number of components which is ... See full document
262
Some Problems Concerning Polynomials over Finite Fields, or Algebraic Divertissements
... find some new theo- rem, some connection hidden in some fold of the tissue forming mathematic’s ...in some branch, being at the same time good students of geometry, algebra and ... See full document
106
A theory of permutation polynomials using compositional attractors
... Unlike other permutation polynomial groups, enumeration of the permutation polynomials of a finite F-algebra comprising a direct product of finite field is best done by computing t h e i[r] ... See full document
97
Efficient Indexing of Necklaces and Irreducible Polynomials over Finite Fields
... Recent independent work. A preliminary version of this paper appeared as [16]. At about the same time, similar results were published by Kociumaka, Radoszewski and Rytter [15]. The work in these two papers was done ... See full document
27
A new approach in building parallel finite field multipliers
... polynomial arithmetic and irreducible polynomials, extension fields exist for finite fields.. as well.[r] ... See full document
102
Properties of sparse random matrices over finite fields
... π(ˆ x) = δ(ˆ x − 1), π(x) = δ(x − 1). (24) in terms of the auxiliary fields are the same as for the kernel. Substituting these solutions into equation (16), we see that the paramagnetic solution gives the result ... See full document
19
A Versatile Multi-Input Multiplier over Finite Fields
... elements over finite fields is used extensively in multivariate public key cryptography and solving system of linear equations over finite ...elements over finite ... See full document
8
Regular proper *-semigroup embeddings and involutionstitle
... A semigroup with involution (S, ∗) is called a *-semigroup. It is called a p*-semigroup if the involution * is proper. Thus ∀a, b ∈ S, aa ∗ = ab ∗ = bb ∗ ⇒ a = b . A ring with involution (R, ∗) is called a *-ring. It is ... See full document
14
Permutation polynomials in one and several variables
... Chapter 2 gives the fundamental concepts of a permutation polynomial and an orthogonal system.The cyclic and Dickson polynomials are defined and permutation properties of Chebyshev polyn[r] ... See full document
129
Some array polynomials over special monoid presentations
... minimality) over group and monoid presenta- tions, very important characterizations are given for related algebraic structures (see, for instance, [–]; see also the references cited in each of these earlier ... See full document
14
On the matrix equation Xn=B over finite fields
... In this paper, we consider the problem of determining the number N Nn,m,B of the n-th roots in M of a given matrix.. Our present work generalizes a recent paper of the authors [1] in whi[r] ... See full document
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