nums

README

NUMS

Microsoft Nothing Up My Sleeve Elliptic curves

NUMS (Nothing Up My Sleeve) curves, which are supported in the MSRElliptic Curve Cryptography Library (a.k.a. MSR ECCLib).

These curves are elliptic curves over a prime field, just like the NIST or Brainpool curves. However, the domain-parameters are choosen using a VERY TIGHT DESIGN SPACE to ensure, that the introduction of a backdoor is infeasable. For a desired size of s bits the prime p is choosen as p = 2^s - c with the smallest c where c>0 and p mod 4 = 3 and p being prime.

Usage

Usage of nums:
  -dec
        Decrypt with Private key
  -derive
        Derive shared secret key
  -enc
        Encrypt with Public key
  -key string
        Private/Public key
  -keygen
        Generate keypair
  -pub string
        Remote's side Public key
  -sign
        Sign with Private key
  -signature string
        Signature
  -verify
        Verify with Public key

Examples

Asymmetric keypair generation:

./nums -keygen 

Digital signature (ECDSA):

./nums -sign -key $prvkey < file.ext > sign.txt
sign=$(cat sign.txt)
./nums -verify -key $pubkey -signature $sign < file.ext

Asymmetric encryption:

./nums -enc -key $pubkey < file.ext > file.enc
./nums -dec -key $prvkey < file.enc

Shared key agreement (ECDH):

./nums -derive -key $prvkey -pub $pubkey

License

This project is licensed under the ISC License.

Industrial-Grade Reliability. Copyright (c) 2020-2022 ALBANESE Research Lab.

Documentation

Overview

Parameters for the Microsoft Nothing Up My Sleeve Elliptic curves

Index

• func P256() elliptic.Curve
• func P512() elliptic.Curve

Functions

func P256

func P256() elliptic.Curve

func P512

func P512() elliptic.Curve