S. Ugolini

activity

20112020

most citedGraphs associated with the map

x \mapsto x + x^{- 1}

in finite fields of characteristic five

14 citations · 73 across the 17 of their papers we have counts for

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math.NT2020★ 3 cited

On the iterations of the maps $a x^{2^{k}} + b$ and $(a x^{2^{k}} + b)^{- 1}$ over finite fields of characteristic two

Simone Ugolini

The maps $x \mapsto a x^{2^{k}} + b$ defined over finite fields of characteristic two can be related to the duplication map over binary supersingular elliptic curves. Relying upon the s…

On the iterations of the maps ax2k+b and (ax2k+b)−1 over finite fields of characteristic two

On the iterations of the maps $a x^{2^{k}} + b$ and $(a x^{2^{k}} + b)^{- 1}$ over finite fields of characteristic two