A method to calculate equations of algebriac envelopes associated to a k-arc in the projective plane PG(2, q) is given. It is based on Groebner Bases of ideals in the multivariate polynomial ring GF(q)[x0, x1, x2], where GF(q) denotes the finite field with q elements. This method is then applied to the complete arc of size 24 in PG(2,29) by Chao and Kaneta.
Inviluppi di k-archi in piani proiettivi sopra campi finiti e Basi di Groebner
GIULIETTI, Massimo
1999
Abstract
A method to calculate equations of algebriac envelopes associated to a k-arc in the projective plane PG(2, q) is given. It is based on Groebner Bases of ideals in the multivariate polynomial ring GF(q)[x0, x1, x2], where GF(q) denotes the finite field with q elements. This method is then applied to the complete arc of size 24 in PG(2,29) by Chao and Kaneta.File in questo prodotto:
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