Current research topics on Galois geometry
著者
書誌事項
Current research topics on Galois geometry
（Mathematics research developments series）
Nova Science Publishers, c2012
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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.
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