Abstract: 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
Authors and copyright holders:
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For citation:
Glusko K. L., Titov S. S. Arithmetic algorithm for solving quadratic equations in finite fields of characteristic two. Doklady Tomskogo gosudarstvennogo universiteta sistem upravleniya i radioelektroniki, 2012, no. 1(25), – p. 2. pp. 148–152.
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