Constructing commutative semifields of square order

Gagola, Stephen M. & Hall, Joanne L. (2016) Constructing commutative semifields of square order. Advances in Mathematics of Communications, 10(2), pp. 291-306.

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The projection construction has been used to construct semifields of odd characteristic using a field and a twisted semifield [Commutative semi-fields from projection mappings, Designs, Codes and Cryptography, 61 (2011), 187{196]. We generalize this idea to a projection construction using two twisted semifields to construct semifields of odd characteristic. Planar functions and semifields have a strong connection so this also constructs new planar functions.

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ID Code: 94969
Item Type: Journal Article
Refereed: Yes
Keywords: Planar Function, Dembowski Ostrom Polynomial, trace, semifield, projective plane
DOI: 10.3934/amc.2016006
ISSN: 1930-5338
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2016 American Institute of Mathematical Sciences
Deposited On: 19 Apr 2016 04:06
Last Modified: 10 Jun 2016 11:19

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