Arithmetic algorithm for solving quadratic equations in finite fields of characteristic two

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Authors: Glusko K. L., Titov S. S.

Annotation: The paper considers the problem of arithmetic in finite fields of characteristic two, which may have cryptographic applications. Based on the construction of normal bases by using a symmetric quadratic extension of an algorithm for solving quadratic equations by the generalized formula semitrace. Examples considered.

Keywords: finite field of characteristic two, normal basis, the formula semitrace, quadratic equation