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Classification of the Cosets of RM(1, 7) in RM(3, 7) Revisited
Authors
Yuri Borissov, An Braeken, Svetla Nikova, Bart Preneel
Pages
58 - 72
DOI
10.3233/978-1-58603-878-6-58
Series
NATO Science for Peace and Security Series - D: Information and Communication Security
Ebook
Volume 18: Boolean Functions in Cryptology and Information Security
Abstract

Based on classification of Boolean cubic forms of seven variables given by X.D. Hou in 1996, we show how to efficiently classify the cosets of RM(1, 7) in RM(3, 7) under the action of the general affine group AGL(7, 2). At the same time the sizes of the orbits are determined. We discuss also, the correctness of our computations.