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Current Research Topics on Galois Geometrics

Editat de Leo Storme, Jan de Beule
en Limba Engleză Hardback – 25 ian 2012
Galois geometry is the theory that deals with substructures living in projective spaces over finite fields, also called Galois fields. This collected work presents current research topics in Galois geometry, and their applications. Presented topics include classical objects, blocking sets and caps in projective spaces, substructures in finite classical polar spaces, the polynomial method in Galois geometry, finite semifields, links between Galois geometry and coding theory, as well as links between Galois geometry and cryptography.
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Specificații

ISBN-13: 9781612095233
ISBN-10: 1612095232
Pagini: 284
Ilustrații: Illustrations
Dimensiuni: 184 x 261 x 22 mm
Greutate: 0.68 kg
Editura: Nova Science Publishers Inc

Cuprins

Preface; Constructions & characterizations of classical sets in PG(n,q); Substructures of finite classical polar spaces; Blocking sets in projective spaces; Large caps in projective Galois spaces; The polynomial method in Galois geometries; Finite semifields; Codes over rings & ring geometries; Galois geometries & coding theory; Applications of Galois geometry to cryptology; Galois geometries & low-density parity-check codes; Index.