Results 291 to 300 of about 12,890,521 (357)
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Series and Products in the Development of Mathematics, 2006
J. Gallian
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J. Gallian
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Finite Fields and their Applications
Introduction to Modern Algebra and its Applications, 2021We establish expansion properties for suitably generic polynomials of degree d in d +1 variables over finite fields. In particular, we show that if P ∈ F q [ x 1 ,...,x d +1 ] is a polynomial of degree d , whose coefficients avoid the zero locus of some ...
N. Gubareni
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Synchronization of networks over finite fields
at - Automatisierungstechnik, 2020In this paper, the synchronization problem for networks over finite fields is investigated, which is a generalization of consensus and provides a new perspective for networks of agents with limited capacities of memory and communication.
Min Meng, Xiuxian Li, Gaoxi Xiao
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52nd IEEE Conference on Decision and Control, 2013
This work studies consensus networks over finite fields, where agents process and communicate values from the set of integers {0,..., p-1}, for some prime number p, and operations are performed modulo p. For consensus networks over finite fields we provide necessary and sufficient conditions on the network topology and weights to ensure convergence ...
Pasqualetti F. +2 more
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This work studies consensus networks over finite fields, where agents process and communicate values from the set of integers {0,..., p-1}, for some prime number p, and operations are performed modulo p. For consensus networks over finite fields we provide necessary and sufficient conditions on the network topology and weights to ensure convergence ...
Pasqualetti F. +2 more
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Leader–Follower Consensus of Multiagent Systems With Time Delays Over Finite Fields
IEEE Transactions on Cybernetics, 2019This paper studies the leader–follower consensus of multiagent systems with time delays and switching topology over finite fields. First, an equivalent algebraic form is established for leader–follower multiagent systems with time delays over finite ...
Yalu Li +3 more
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New permutation trinomials from Niho exponents over finite fields with even characteristic
Cryptography and Communications, 2016In this paper, a class of permutation trinomials of Niho type over finite fields with even characteristic is further investigated. New permutation trinomials from Niho exponents are obtained from linear fractional polynomials over finite fields, and it ...
Nian Li, T. Helleseth
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Hypergeometric Functions over Finite Fields
2017 MATRIX Annals, 2015Building on the developments of many people including Evans, Greene, Katz, McCarthy, Ono, Roberts, and Rodriguez-Villegas, we consider period functions for hypergeometric type algebraic varieties over finite fields and consequently study hypergeometric ...
Jenny G. Fuselier +4 more
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1998
Abstract We shall show in this chapter that for each prime p and positive integer n there is one and only one field with pn elements. This field is sometimes called the Galois field of order pn and is denoted by GF(pn). We shall prove the existence of GF(pn) by showing that there is an irreducible polynomial of degree n over the field
A W Chatters, C R Hajarnavis
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Abstract We shall show in this chapter that for each prime p and positive integer n there is one and only one field with pn elements. This field is sometimes called the Galois field of order pn and is denoted by GF(pn). We shall prove the existence of GF(pn) by showing that there is an irreducible polynomial of degree n over the field
A W Chatters, C R Hajarnavis
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1996
The theory of finite fields is a branch of algebra that has come to the fore because of its diverse applications in such areas as combinatorics, coding theory and the mathematical study of switching ciruits. This book is devoted entirely to the theory of finite fields, and it provides comprehensive coverage of the literature.
Rudolf Lidl, Harald Niederreiter
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The theory of finite fields is a branch of algebra that has come to the fore because of its diverse applications in such areas as combinatorics, coding theory and the mathematical study of switching ciruits. This book is devoted entirely to the theory of finite fields, and it provides comprehensive coverage of the literature.
Rudolf Lidl, Harald Niederreiter
openaire +2 more sources