Bent Vectorial Functions, Codes and Designs
Document Type
Article
Publication Date
11-1-2019
Abstract
© 1963-2012 IEEE. Bent functions, or equivalently, Hadamard difference sets in the elementary Abelian group ( ${\mathrm {GF}}(2^{2m}), $ +), have been employed to construct symmetric and quasi-symmetric designs having the symmetric difference property. The main objective of this paper is to use bent vectorial functions for a construction of a two-parameter family of binary linear codes that do not satisfy the conditions of the Assmus-Mattson theorem, but nevertheless hold 2-designs. A new coding-theoretic characterization of bent vectorial functions is presented.
Publication Title
IEEE Transactions on Information Theory
Recommended Citation
Ding, C.,
Munemasa, A.,
&
Tonchev, V.
(2019).
Bent Vectorial Functions, Codes and Designs.
IEEE Transactions on Information Theory,
65(11), 7533-7541.
http://doi.org/10.1109/TIT.2019.2922401
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/11049