Association schemes arising from bent functions

Authors:
Alexander Pott;Yin Tan;Tao Feng;San Ling
Affiliations:
Department of Mathematics, Otto-von-Guericke-University Magdeburg, Magdeburg, Germany 39016;Temasek Laboratories, National University of Singapore, Singapore, Singapore 117411;Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore 637371;Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore 637371
Venue:
Designs, Codes and Cryptography
Year:
2011

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Abstract

We give a construction of 3-class and 4-class association schemes from s-nonlinear and differentially 2 s -uniform functions, and a construction of p-class association schemes from weakly regular p-ary bent functions, where p is an odd prime.