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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 ...
Fabio Pasqualetti +2 more
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On involutions of finite fields
2015 IEEE International Symposium on Information Theory (ISIT), 2015In this paper we study involutions over a finite field of order $\bf 2^n$. We present some classes, several constructions of involutions andwe study the set of their fixed points.
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On the finite field Nullstellensatz [PDF]
Australas. J Comb., 2000 Let \(\mathbb{P}^n\) be the \(n\)-dimensional projective space defined over an algebraically closed field of positive characteristic \(p\), let \(q\) be a power of \(p\) and let \(X\) be an irreducible closed \(\mathbb{F}_q\)-definable subvariety of \(\mathbb{P}^n\) (here \(\mathbb{F}_q\) denotes the Galois field of \(q\) elements).
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