In a recent paper by L. Budaghyan, C. Carlet, and G. Leander (2009) it is shown that functions of the form L 1 (x 3 ) + L 2 (x 9 ), where L 1 and L 2 are linear, are a good source for construction of new infinite families of APN functions. In the present work we study necessary and sufficient conditions for such functions to be APN.

On APN functions L 1 (x 3 ) + L 2 (x 9 ) with linear L 1 and L 2 / Villa, I.. - In: CRYPTOGRAPHY AND COMMUNICATIONS. - ISSN 1936-2447. - 11:1(2019), pp. 3-20. [10.1007/s12095-018-0283-8]

On APN functions L 1 (x 3 ) + L 2 (x 9 ) with linear L 1 and L 2

Villa I.
2019

Abstract

In a recent paper by L. Budaghyan, C. Carlet, and G. Leander (2009) it is shown that functions of the form L 1 (x 3 ) + L 2 (x 9 ), where L 1 and L 2 are linear, are a good source for construction of new infinite families of APN functions. In the present work we study necessary and sufficient conditions for such functions to be APN.
1
Villa, I.
On APN functions L 1 (x 3 ) + L 2 (x 9 ) with linear L 1 and L 2 / Villa, I.. - In: CRYPTOGRAPHY AND COMMUNICATIONS. - ISSN 1936-2447. - 11:1(2019), pp. 3-20. [10.1007/s12095-018-0283-8]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/328830
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