On theMenezes-Teske-Weng conjecture

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

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On theMenezes-Teske-Weng conjecture

机译：关于Menezes-Teske-Weng猜想

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摘要

In 2003, Alfred Menezes, Edlyn Teske and Annegret Weng presented a conjecture on properties of the solutions of a type of quadratic equations over the binary extension fields, which had been confirmed 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 linearized polynomials.

机译：2003年，Alfred Menezes，Edlyn Teske和Annegret Weng提出了关于二元扩展域上一类二次方程解的性质的一种猜想，这一点已通过广泛的实验得到了证实，但迄今仍未知。我们证明这个猜想是正确的。此外，使用证明的猜想，我们已经完全确定了一类线性化多项式的零空间。

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来源
《Cryptography and Communications》 |2020年第1期|19-27|共9页
作者
Mesnager Sihem; Kim Kwang Ho; Choe Junyop; Tang Chunming;
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作者单位

Univ Paris VIII Univ Paris XIII CNRS Dept Math LAGA UMR 7539 Paris France|Telecom ParisTech Paris France;

State Acad Sci Inst Math Pyongyang South Korea|PGItech Corp Pyongyang South Korea;

State Acad Sci Inst Math Pyongyang South Korea;

China West Normal Univ Sch Math & Informat Nanchong 637002 Sichuan Peoples R China;

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正文语种 eng
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关键词
Binary finite fields; Elliptic curve; Discrete Logarithm Problem (DLP); Quadratic equation; Trace function;

机译：二进制有限域椭圆曲线离散对数问题（DLP）;二次方程;追踪功能;

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6. FAKE TORI THE ANNULUS CONJECTURE AND THE CONJECTURES OF KIRBY [O] . W. C. Hsiang, J. L. Shaneson 1969

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On theMenezes-Teske-Weng conjecture

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