Titlebook: Algorithmic Algebraic Combinatorics and Gr?bner Bases; Mikhail Klin,Gareth A. Jones,Ilia Ponomarenko Book 2009 Springer-Verlag Berlin Heid

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https://doi.org/10.1007/978-3-658-06532-4 we prove non-existence for three feasible parameter sets. Ten cases are still open..In the imprimitive case, we survey the known results including some constructions of infinite families of schemes. In the smallest case that has been open up to now, we use computer search to find new schemes. These

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https://doi.org/10.1007/978-3-658-06532-4. a prime and .>1, but the method is described over general Galois rings. The existence of sets of type (..,..) is equivalent to the existence of a solution of a Diophantine system of linear equations. To construct these sets we prescribe automorphisms, which allows to reduce the Diophantine system

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Enumerating Set Orbitsnge of combinatorial searches. We describe an implementation of the algorithm in GAP. We give a few applications, one of which answers a question by De?Wispelaere regarding the classification of all two-ovoids in the classical generalized hexagon of order 4.

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Uitdagen en helpende gedachten,nge of combinatorial searches. We describe an implementation of the algorithm in GAP. We give a few applications, one of which answers a question by De?Wispelaere regarding the classification of all two-ovoids in the classical generalized hexagon of order 4.

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Praten met je ouders over angst,This paper is meant primarily as a . on how to phrase problems in association schemes in the language of Gr?bner bases and use the computational results provided by those bases, though it does contain fusion scheme computations not previously found in the literature.

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