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We present a simple algorithm for Miller inversion for the reduced Tate pairing on supersingular elliptic curve of trace zero defined over the finite fields with q elements. Our algorithm runs with O(...
This paper presents a novel method for designing compact yet efficient hardware implementations of the Tate pairing over supersingular curves in small characteristic. Since such curves are usually res...
We compare both the security and performance issues related to the choice of MNT curves against supersingular curves in characteristic three, for pairing based systems. We pay particular attention ...
We compute Tate pairing over supersingular elliptic curves via the generic BGhES[3] method for p = 5; 7. In those cases, the point multiplication by p is e±ciently computed by the Frobenius endomorp...

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