logos-storage/constantine

mirror of https://github.com/logos-storage/constantine.git synced 2026-01-03 05:33:07 +00:00

History

Mamy André-Ratsimbazafy abaafa816e

2020-02-25 14:32:54 +01:00

..

bigints_checked.nim

Fused initialization and arithmetic finite field primitive to have Fp2 less verbose and more efficient

2020-02-25 11:00:27 +01:00

bigints_raw.nim

Fix warnings

2020-02-25 14:32:54 +01:00

finite_fields.nim

Fix warnings

2020-02-25 14:32:54 +01:00

precomputed.nim

introduce unconditional add/sub and fused initialization+operation sum/diff

2020-02-25 03:11:32 +01:00

README.md

Add references for finite fields and tower of finite fields arithmetic

2020-02-25 01:16:10 +01:00

README.md

BigInt and Finite Field Arithmetic

This folder contains the implementation of

big integers
finite field arithmetic (i.e. modular arithmetic)

References

Montgomery Arithmetic from a Software Perspective
Joppe W. Bos and Peter L. Montgomery, 2017
https://eprint.iacr.org/2017/1057
Arithmetic of Finite Fields
Chapter 5 of Guide to Pairing-Based Cryptography
Jean Luc Beuchat, Luis J. Dominguez Perez, Sylvain Duquesne, Nadia El Mrabet, Laura Fuentes-Castañeda, Francisco Rodríguez-Henríquez, 2017
https://www.researchgate.net/publication/319538235_Arithmetic_of_Finite_Fields