Finite Field Arithmetic - mratsim/constantine GitHub Wiki

• http://www.springeronline.com/sgw/cda/pageitems/document/cda_downloaddocument/0,11996,0-0-45-110359-0,00.pdf
• https://cryptojedi.org/peter/data/pairing-20131122.pdf
• http://www.hyperelliptic.org/EFD/
• https://eprint.iacr.org/2017/437.pdf

Montgomery Multiplication optimisation

• https://alicebob.cryptoland.net/understanding-the-montgomery-reduction-algorithm/

• http://home.deib.polimi.it/pelosi/lib/exe/fetch.php?media=teaching:montgomery.pdf

• https://eprint.iacr.org/2013/882.pdf (+20% vs Miracl/Milagro from the time on AVR 8-bit controller)

• https://www.microsoft.com/en-us/research/wp-content/uploads/1996/01/j37acmon.pdf

• Test vectors, last page of: https://www.researchgate.net/profile/JV_Mccanny/publication/4107322_Montgomery_modular_multiplication_architecture_for_public_key_cryptosystems/links/58778eda08ae6eb871d152b5/Montgomery-modular-multiplication-architecture-for-public-key-cryptosystems.pdf

• Reference impl: http://www.hackersdelight.org/hdcodetxt/mont64.c.txt