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On the Menezes-Teske-Weng's conjecture
July 05, 2018 Β· Declared Dead Β· π Cryptography and Communications
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Authors
Sihem Mesnager, Kwang Ho Kim, Junyop Choe, Chunming Tang
arXiv ID
1807.01858
Category
cs.IT: Information Theory
Citations
9
Venue
Cryptography and Communications
Last Checked
4 months ago
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.
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