An Algebraic Approach to NTRU (q = 2n) via Witt Vectors and Overdetermined Systems of Nonlinear Equations
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چکیده
منابع مشابه
An Algebraic Approach to NTRU (q = 2) via Witt Vectors and Overdetermined Systems of Nonlinear Equations
We use the theory of Witt vectors to develop an algebraic approach for studying the NTRU primitive with q parameter equal to a power of two. This results in a system of nonlinear algebraic equations over F2 having many symmetries, which is reminiscent of the approach of Courtois, Murphy, Pieprzyk, Robshaw and others for studying the structure of block ciphers such as the AES. We study whether t...
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We present an algebraic attack on NTRU (restricted to the case where the parameter q is a power of two) using the method of the Witt vectors proposed by Silverman, Smart and Vercauteren [17]; the latter considered only the first two bits of a Witt vector attached to the recovering of the secret key in order to reduce the problem to the resolution of an algebraic system over F2. The theoretical ...
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