@galihru/pqlaicrypto
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A Python package providing a reference implementation of the Lemniscate-AGM Isogeny (LAI) encryption scheme. LAI is a promising post-quantum cryptosystem based on isogenies of elliptic curves over lemniscate lattices, offering resistance against quantum-c
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<div class="logo">PQCrypto</div>
<ul class="nav-links">
<li><a href="#home">Home</a></li>
<li><a href="#features">Features</a></li>
<li><a href="#languages">Languages</a></li>
<li><a href="#demo">Demo</a></li>
<li><a href="https://github.com/4211421036/pqcrypto/wiki">Docs Wiki</a></li>
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<main id="main-content" role="main">
<section id="home" class="hero">
<div class="hero-content">
<h1>Post-Quantum LAI Encryption</h1>
<p>A revolutionary multi-language implementation of Lemniscate-AGM Isogeny encryption, offering quantum-resistant security for the future of cryptography.</p>
<div class="cta-buttons">
<a href="#demo" class="btn btn-primary">Get Started</a>
<a href="#features" class="btn btn-secondary">Learn More</a>
</div>
</div>
</section>
<section id="features" class="features scroll-reveal">
<div class="container">
<div class="section-header">
<h2>Revolutionary Features</h2>
<p>Built for the quantum era with mathematical precision and multi-language support</p>
</div>
<div class="features-grid">
<div class="feature-card glass-card" tabindex="0">
<div class="feature-icon" aria-hidden="true">š</div>
<h3>Quantum-Resistant</h3>
<p>Based on isogenies of elliptic curves over lemniscate lattices, providing conjectured resistance against quantum-capable adversaries.</p>
</div>
<div class="feature-card glass-card" tabindex="0">
<div class="feature-icon" aria-hidden="true">ā”</div>
<h3>Optimized Performance</h3>
<p>Fast branch for pā”3(mod 4) and binary exponentiation for O(log k) complexity in LAI transformations.</p>
</div>
<div class="feature-card glass-card" tabindex="0">
<div class="feature-icon" aria-hidden="true">š</div>
<h3>Multi-Language Support</h3>
<p>Available in Python, JavaScript, Ruby, .NET, and Java with identical API semantics across all platforms.</p>
</div>
<div class="feature-card glass-card" tabindex="0">
<div class="feature-icon" aria-hidden="true">š¬</div>
<h3>Mathematically Precise</h3>
<p>Every function corresponds exactly to mathematical formulas with hash-based seed functions and modular square roots.</p>
</div>
<div class="feature-card glass-card" tabindex="0">
<div class="feature-icon" aria-hidden="true">š¦</div>
<h3>Pure Implementation</h3>
<p>No native code dependencies, using only standard libraries for maximum compatibility and security.</p>
</div>
<div class="feature-card glass-card" tabindex="0">
<div class="feature-icon" aria-hidden="true">š</div>
<h3>Bulk Operations</h3>
<p>Support for bulk JSON decryption and large ciphertext payloads for real-world applications.</p>
</div>
</div>
</div>
</section>
<section id="languages" class="languages scroll-reveal">
<div class="container">
<div class="section-header">
<h2>Multi-Platform Excellence</h2>
<p>One cryptographic standard, multiple implementation languages</p>
</div>
<div class="languages-grid">
<div class="language-card glass-card" tabindex="0" role="button" aria-pressed="false" onclick="showCodeExample('python')" onkeydown="if(event.key === 'Enter' || event.key === ' ') showCodeExample('python')">
<div class="language-logo" aria-hidden="true">š</div>
<h3>Python</h3>
<p>pip install laicrypto</p>
<div class="badge">PyPI</div>
</div>
<div class="language-card glass-card" tabindex="0" role="button" aria-pressed="false" onclick="showCodeExample('javascript')" onkeydown="if(event.key === 'Enter' || event.key === ' ') showCodeExample('javascript')">
<div class="language-logo" aria-hidden="true">JS</div>
<h3>JavaScript</h3>
<p>npm install pqlaicrypto</p>
<div class="badge">NPM</div>
</div>
<div class="language-card glass-card" tabindex="0" role="button" aria-pressed="false" onclick="showCodeExample('ruby')" onkeydown="if(event.key === 'Enter' || event.key === ' ') showCodeExample('ruby')">
<div class="language-logo" aria-hidden="true">š</div>
<h3>Ruby</h3>
<p>gem install laicrypto</p>
<div class="badge">RubyGems</div>
</div>
<div class="language-card glass-card" tabindex="0" role="button" aria-pressed="false" onclick="showCodeExample('csharp')" onkeydown="if(event.key === 'Enter' || event.key === ' ') showCodeExample('csharp')">
<div class="language-logo" aria-hidden="true">C#</div>
<h3>.NET</h3>
<p>PQCrypto.Lai</p>
<div class="badge">NuGet</div>
</div>
<div class="language-card glass-card" tabindex="0" role="button" aria-pressed="false" onclick="showCodeExample('java')" onkeydown="if(event.key === 'Enter' || event.key === ' ') showCodeExample('java')">
<div class="language-logo" aria-hidden="true">ā</div>
<h3>Java</h3>
<p>com.pelajaran.pqcrypto</p>
<div class="badge">Maven</div>
</div>
</div>
</div>
</section>
<section id="demo" class="demo scroll-reveal">
<div class="container">
<div class="section-header">
<h2>See It In Action</h2>
<p>Simple, elegant, and secure encryption in just a few lines of code</p>
</div>
<div class="demo-container">
<div>
<h3>Mathematical Foundation</h3>
<p>LAI encryption is based on the mathematical transformation:</p>
<div class="formula">
T((x,y), s; a, p) = (
x' = (x + a + h) / 2 mod p,
y' = ā(xy + h) mod p
)
where h = SHA256(x || y || s) mod p
</div>
<p>This provides quantum-resistant security through the difficulty of computing isogenies in elliptic curve cryptography.</p>
</div>
<div class="code-block glass-card">
<div class="code-header">
<div class="code-dots">
<div class="code-dot"></div>
<div class="code-dot"></div>
<div class="code-dot"></div>
</div>
<span id="code-language" style="margin-left: 1rem; color: var(--text-secondary);">Python Example</span>
</div>
<div id="code-content" class="code-content">
<span class="keyword">from</span> pqcrypto <span class="keyword">import</span> keygen, encrypt, decrypt
<span class="comment"># Setup parameters</span>
p = <span class="number">10007</span>
a = <span class="number">5</span>
P0 = (<span class="number">1</span>, <span class="number">0</span>)
<span class="comment"># Generate keypair</span>
private_k, public_Q = keygen(p, a, P0)
<span class="comment"># Encrypt message</span>
message = <span class="number">2024</span>
C1, C2 = encrypt(message, public_Q, p, a, P0)
<span class="comment"># Decrypt</span>
recovered = decrypt(C1, C2, private_k, a, p)
<span class="keyword">print</span>(<span class="string">f"Recovered: {recovered}"</span>)
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