Volume 67 | Issue 6 | Year 2021 | Article Id. IJMTT-V67I6P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I6P508
In this paper, a method for constructing a near optimal normal basis for algebraic extensions of a finite field is described. In each extension, except for the squares of the basis elements, the product of two distinct elements in the normal basis can be expressed as a linear combination of those two basis elements, with coefficients in a much smaller subfield.
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Duggirala Meher Krishna, Duggirala Ravi, "Optimal Normal Bases Over Finite Fields," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 6, pp. 58-61, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I6P508