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- Christine Abegail Antonio, Satoru Tanaka, Ken Nakamula
- IACR Cryptology ePrint Archive
- 2007

In this paper, we will describe efficient implementations of the Tate and Ate pairings over ordinary elliptic curves of embedding degrees 8 and 10. We will discuss the possible curve-dependent optimizations that can be applied to evaluate the pairings. We pay particular attention to the use of elliptic curve twists and the denominator elimination method to… (More)

- Christine Abegail Antonio, Satoru Tanaka, Ken Nakamula
- IACR Cryptology ePrint Archive
- 2007

In this paper, we will implement a standard probabilistic method of computing bilinear pairings. We will compare its performance to a deterministic algorithm introduced in [5] to compute the squared Tate/Weil pairings which are claimed to be 20 percent faster than the standard method. All pairings will be evaluated over pairing-friendly ordinary elliptic… (More)

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