Results 71 to 80 of about 109 (103)

Finite semifields

2011
About this title: 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 ...
LAVRAUW M, POLVERINO, Olga
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Generalized semifields

A triple (S, +, · ) is said to be semiring iff S is a set and + and · are binary operations on S such that (1) (S,+) is a commutative semigroup, (2) (S, ·) is commutative semigroup, (3) (x+y) ·z=x·z+y·z for all x, y, z, ɛ , S. A semiring (D,+, ·) is said to be a ratio semiring iff (D, ·) is a group.
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Counting the number of non-isotopic Taniguchi semifields

Designs, Codes, and Cryptography, 2023
Faruk Gologlu, Lukas Kölsch
exaly  

Simple skew semifields and semifields

Siberian Mathematical Journal, 1974
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An Approach to the Classification of Finite Semifields by Quantum Computing

Springer Proceedings in Mathematics and Statistics, 2023
Ignacio F Rua
exaly  

A family of semifields in odd characteristic

Designs, Codes, and Cryptography, 2017
Jürgen Bierbrauer, Daniele Bartoli, Giorgio Faina   +2 more
exaly  

Projective polynomials, a projection construction and a family of semifields

Designs, Codes, and Cryptography, 2015
Jürgen Bierbrauer, Bierbrauer Jürgen
exaly  

Theorems of convex subgroups of semifields and vector spaces over semifields

A triple (K, +, .) is called a semifield if (1) (K, .) is an abelian group with zero 0, (2) (K, +) is a commutative semigroup with identity 0, and (3) for all x, y, z K, x(y+z) = xy+xz. A nonempty subset C={0} is a convex subgroup of K if (1) for all x, y C, y = 0 implies x/y C, and (2) for all x, y C, alpha, beta K, with alpha + beta = 1, alpha x ...
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A geometric construction of finite semifields

Journal of Algebra, 2007
Simeon Ball, Michel Lavrauw
exaly  

Finite semifields and nonsingular tensors

Designs, Codes, and Cryptography, 2012
Michel Lavrauw, Lavrauw Michel
exaly