The selfnegadual properties of generalised quadratic Boolean functions

Authors:
Lars Eirik Danielsen;Matthew G. Parker
Affiliations:
The Selmer Center, Department of Informatics, University of Bergen, Bergen, Norway 5020 and , Bergen, Norway;The Selmer Center, Department of Informatics, University of Bergen, Bergen, Norway 5020
Venue:
Designs, Codes and Cryptography
Year:
2013

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Abstract

We define and characterise selfnegadual generalised quadratic Boolean functions by establishing a link, both to the multiplicative order of symmetric binary matrices, and also to the Hermitian self-dual $${\mathbb{F}_4}$$ -linear codes. This facilitates a novel way to classify Hermitian self-dual $${\mathbb{F}_4}$$ -linear codes.