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arXiv · 1908.04263

Computation of Jacobi sums of order l^2 and 2l^2 with prime l

Md. Helal Ahmed·Jagmohan Tanti·Sumant Pushp
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Abstract

In this paper, we present the fast computational algorithms for the Jacobi sums of orders $l^2$ and $2l^{2}$ with odd prime $l$ by formulating them in terms of the minimum number of cyclotomic numbers of the corresponding orders. We also implement two additional algorithms to validate these formulae, which are also useful for the demonstration of the minimality of cyclotomic numbers required.

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Md. Helal Ahmed, Jagmohan Tanti, Sumant Pushp. 2019-08-08. Computation of Jacobi sums of order l^2 and 2l^2 with prime l. https://arxiv.org/abs/1908.04263

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