Titlebook: Coding Theory, Cryptography and Related Areas; Proceedings of an In Johannes Buchmann,Tom H?holdt,Horacio Tapia-Recill Conference proceedin

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Werner Gottschalk,Hermann P. Müllerit to show that, for field extensionsequation y.=x.-x+1 over a finite field ..., of degree . prime to ., the Jacobian has a cyclic group structure. We furthermore propose a method for faster scalar multiplication in the Jacobian by using efficient operators other than the Frobenius that have smaller eigenvalues.

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Ashok Gaur,Atul Kumar,Raj Kiran,Pooja Kumarithe best known bound could not be met. The purpose of this paper is to give another new example of this phenomenon, and to explain the method used to obtain these results. This method gives rise to lists of all possible zeta functions, even in cases where we cannot conclude that no curve exists to meet the bound.