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Miller Inversion is Easy for the Reduced Tate Pairing on Trace Zero Supersingular Curves
elliptic curve cryptosystem pairing inversion Tate pairing
2019/4/16
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(...
Compact hardware for computing the Tate pairing over 128-bit-security supersingular curves
implementation Tate pairing supersingular elliptic curves FPGA implementation
2010/7/14
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
...
Computation of Tate Pairing for Supersingular Curves over characteristic 5 and 7
Tate pairing continued fraction Frobenius Endomorphism supersingular
2009/3/11
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...