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Paper 2011/373

An efficient characterization of a family of hyperbent functions with multiple trace terms

Jean-Pierre Flori and Sihem Mesnager

Abstract

Lisoněk recently reformulated the characterization of Charpin and Gong of a large class of hyperbent functions in terms of cardinalities of curves. In this note, we show that such a reformulation can be naturally extended to a distinct family of functions proposed by Mesnager. Doing so, a polynomial time and space test is obtained to test the hyperbentness of functions in this family. Finally we show how this reformulation can be transformed to obtain a more efficient test.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Published elsewhere. Unknown where it was published
Keywords
hyperbent functionshyperelliptic curveswalsh-hadamard transformcryptography
Contact author(s)
flori @ enst fr
History
2012-01-09: last of 5 revisions
2011-07-11: received
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Short URL
https://ia.cr/2011/373
License
Creative Commons Attribution
CC BY
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