Cryptology ePrint Archive: Report 2018/659

On the Menezes-Teske-Weng’s conjecture

Sihem Mesnager and Kwang Ho Kim and Junyop Choe and Chunming Tang

Abstract: In 2003, Alfred Menezes, Edlyn Teske and Annegret Weng presented a conjecture on properties of the solutions of a type of quadratic equation over the binary extension fields, which had been convinced by extensive experiments but the proof was unknown until now. We prove that this conjecture is correct. Furthermore, using this proved conjecture, we have completely determined the null space of a class of linear polynomials.

Category / Keywords: public-key cryptography /

Date: received 7 Jul 2018

Contact author: smesnager at univ-paris8 fr

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Version: 20180707:153143 (All versions of this report)

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