Factor-4 and 6 Compression of Cyclotomic Subgroups

@article{Karabina2009Factor4A6,
  title={Factor-4 and 6 Compression of Cyclotomic Subgroups},
  author={Koray Karabina},
  journal={IACR Cryptology ePrint Archive},
  year={2009},
  volume={2009},
  pages={304}
}
Bilinear pairings derived from supersingular elliptic curves of embedding degrees 4 and 6 over finite fields F2m and F3m , respectively, have been used to implement pairing-based cryptographic protocols. The pairing values lie in certain prime-order subgroups of the cyclotomic subgroups of orders 22m +1 and 32m−3m +1, respectively, of the multiplicative groups F∗ 24m and F∗ 36m . It was previously known how to compress the pairing values over characteristic two fields by a factor of 2, and the… CONTINUE READING

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