The Gale transform is an involution on sets of points in a projective space. It plays a crucial role in several different subjects, such as algebraic geometry, optimization, coding theory and so on. We give a brief survey---from a finite geometry point of view---on the algebraic and geometrical implications of the Gale transform with emphasis on its applications to coding theory, and describe some recent results.
Some recent results in finite geometry and coding theory arising from the Gale transform
COSSIDENTE, Antonio;SONNINO, Angelo
2010-01-01
Abstract
The Gale transform is an involution on sets of points in a projective space. It plays a crucial role in several different subjects, such as algebraic geometry, optimization, coding theory and so on. We give a brief survey---from a finite geometry point of view---on the algebraic and geometrical implications of the Gale transform with emphasis on its applications to coding theory, and describe some recent results.File in questo prodotto:
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