name = "bigints" description = "Experimental SPARK Constant Time Big Integer library" version = "0.2.0" authors = ["César SAGAERT"] maintainers = ["César SAGAERT "] maintainers-logins = ["AldanTanneo"] licenses = "MIT" website = "https://github.com/AldanTanneo/bigints" tags = ["bigint", "cryptography", "constant-time", "spark", "ada2022"] long-description = """# SPARK Constant Time Big Integer library Implementation of a constant time big integer library, inspired by [crypto-bigint](https://github.com/RustCrypto/crypto-bigint). All functions are implemented in constant time, except those with an explicit `_Vartime` suffix. Overloaded operators are also constant time. > \u26A0\uFE0F The constant time choice primitives like `Ct_Eq`, `Ct_Gt`, `Cond_Select` and `CSwap` rely on best-effort optimisation barriers. ## Usage The implementations are generic over the size of the integer: ```ada package U256 is new Bigints.Uint (256); package U1024 is new Bigints.Uint (1024); ``` There is also a generic package to deal with modular integers (over a prime field): ```ada P : U256.Uint := ... -- a big prime, like 2**255 - 19 package GF_P is new Bigints.Modular (U256, P); ``` It is up to the user of the library to ensure the chosen modulus is effectively prime. Otherwise, operations like field inversion become invalid (as it relies on Fermat's little theorem). ## Formal proof The preinstantations in the library (packages `U256s` and `F25519`), as well as the constant time primitives and basic limb primitives, are formally checked using GNATprove. """ [build-switches] "*".ada_version = "Ada2022" development.optimization = ["-O3"] release.runtime_checks = "none" [origin] commit = "414589c10e5dec87aebf9cfe8fda675a047d45b1" url = "git+https://github.com/AldanTanneo/bigints.git"