Efficient multiplication in double-struck F sign3ℓm, m ≥ 1 and 5 ≤ ℓ ≤ 18

Date

2008-06-14

Author

Cenk, Murat
Özbudak, Ferruh

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Using a method based on Chinese Remainder Theorem for polynomial multiplication and suitable reductions, we obtain an efficient multiplication method for finite fields of characteristic 3. Large finite fields of characteristic 3 are important for pairing based cryptography [3]. For 5 <= l <= 18, we show that our method gives canonical multiplication formulae over F-3lm for any m >= 1 with the best multiplicative complexity improving the bounds in [6]. We give explicit formula in the case F-36.97.

Subject Keywords

Chinese Remainder Theorem, Finite field multiplication, Pairing based cryptography

URI

https://hdl.handle.net/11511/30779

DOI

https://doi.org/10.1007/978-3-540-68164-9_27

Conference Name

1st International Conference on Cryptology in Africa

Collections

Graduate School of Applied Mathematics, Conference / Seminar

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Citation Formats

M. Cenk and F. Özbudak, “Efficient multiplication in double-struck F sign3ℓm, m ≥ 1 and 5 ≤ ℓ ≤ 18,” presented at the 1st International Conference on Cryptology in Africa, Casablanca, MOROCCO, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/30779.