Post-Quantum LAI Encryption

A revolutionary multi-language implementation of Lemniscate-AGM Isogeny encryption, offering quantum-resistant security for the future of cryptography.

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Revolutionary Features

Built for the quantum era with mathematical precision and multi-language support

Quantum-Resistant

Based on isogenies of elliptic curves over lemniscate lattices, providing conjectured resistance against quantum-capable adversaries.

Optimized Performance

Fast branch for pā‰”3(mod 4) and binary exponentiation for O(log k) complexity in LAI transformations.

Multi-Language Support

Available in Python, JavaScript, Ruby, .NET, and Java with identical API semantics across all platforms.

Mathematically Precise

Every function corresponds exactly to mathematical formulas with hash-based seed functions and modular square roots.

Pure Implementation

No native code dependencies, using only standard libraries for maximum compatibility and security.

Bulk Operations

Support for bulk JSON decryption and large ciphertext payloads for real-world applications.

Multi-Platform Excellence

One cryptographic standard, multiple implementation languages

Python

pip install laicrypto

PyPI

JavaScript

npm install pqlaicrypto

NPM

Ruby

gem install laicrypto

RubyGems

.NET

PQCrypto.Lai

NuGet

Java

com.pelajaran.pqcrypto

Maven

See It In Action

Simple, elegant, and secure encryption in just a few lines of code

Mathematical Foundation

LAI encryption is based on the mathematical transformation:

T((x,y), s; a, p) = ( x' = (x + a + h) / 2 mod p, y' = āˆš(xy + h) mod p ) where h = SHA256(x || y || s) mod p

This provides quantum-resistant security through the difficulty of computing isogenies in elliptic curve cryptography.

Python Example
from pqcrypto import keygen, encrypt, decrypt # Setup parameters p = 10007 a = 5 P0 = (1, 0) # Generate keypair private_k, public_Q = keygen(p, a, P0) # Encrypt message message = 2024 C1, C2 = encrypt(message, public_Q, p, a, P0) # Decrypt recovered = decrypt(C1, C2, private_k, a, p) print(f"Recovered: {recovered}")