Results 271 to 280 of about 1,824,922 (322)

Entropic order. [PDF]

open access: yesNat Commun
Han Y   +4 more
europepmc   +1 more source

Finite-field consensus

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
openaire   +2 more sources

Finite fields

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
openaire   +1 more source

Finite Fields

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
openaire   +2 more sources

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