Cry is a advance cryptography library based on ECC and permutation.
Primitive for Cry.
Cry has two main cryptography primitive:
- Elliptic Curve
- Sponge Construction.
We can use these two primitive to build all the world of cryptography.
Elliptic Curve
Elliptic Curve has two type of data, point and scalar number. These define on $G_p$, $p$ is a prime number, also is number of elements.
Point $G$ will persent by uppercase letter. scalar number $a$ will persent by lowercase letter.
All support operator:
- add two scalar, $a+b$
- multiply two scalar, $a*b$ or $ab$
- negative scalar, $-a$
- inverse scalar, $a^{-1}$
- scalar one
- scalar zero
- add two point, $A+B$
- multiply scalar and point, $a*G$ or $aG$
- negative point, $-A$
- inverse point, $A^{-1}$
- point one
- point zero
Sponge Construction
Sponge construction is a base of permutation cryptography. It can absorb data, squeeze data, or blender state.
We can use this to build hash function and symmetric encryption.