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- On symmetric algorithms for bilinear forms over finite fields
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Maximality of Ciani curves over finite fields
AbstractIn this paper, we will study Ciani curves in characteristic p ≥ 3, in particular their standard forms C : x 4 + y 4 + z 4 + r x 2 y 2 + s y 2 z 2 + t z 2 x 2 = 0. It is well-known that any Ciani curve is a non-hyperelliptic curve of ...
Symmetric queues served in cyclic order
Consider a symmetrical system of n queues served in cyclic order by a single server. It is shown that the stationary number of customers in the system is distributed as the sum of three independent random variables, one being the stationary number of ...
Product-forms in batch networks: Approximation and asymptotics
It is shown that a Markovian queue, with bulk arrivals and departures having any probability mass functions for their batch sizes, has geometrically distributed queue length at equilibrium (when this exists) provided there is an additional special bulk ...
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