Cryptography

Applied Cryptography

Foundations of Cryptography

Introduction to Cryptography with Coding Theory

Serious Cryptography

Cipher Maps: A Unified Framework for Oblivious Function Approximation Through Algebraic Structures and Bernoulli Models

Cipher Maps: When Category Theory Meets Oblivious Computing

What if we could compute on encrypted data while preserving algebraic structure? Not through expensive homomorphic encryption, but through a principled mathematical framework that unifies oblivious computing, Bernoulli types, and categorical …

Encrypted Search with Oblivious Bernoulli Types: Information-Theoretic Privacy through Controlled Approximation

Maximizing Confidentiality in Encrypted Search Through Entropy Optimization

Rethinking Encrypted Search: From Access Pattern Leakage to Information-Theoretic Privacy

Encrypted search has a fundamental problem: you can’t hide what you’re looking for. Even with the best encryption, search patterns leak information. My recent work develops a new approach using oblivious Bernoulli types to achieve …

Algebraic Cipher Types: A Functorial Framework for Secure Computation

Algebraic Cipher Types: Computing on Encrypted Data While Preserving Structure

A functorial framework that lifts algebraic structures into the encrypted domain, enabling secure computation that preserves mathematical properties.

Algebraic Hashing A Modern C++20 Library for Composable Hash Functions Version 2.0

Apertures: Coordinated Partial Evaluation for Distributed Computation

Cryptographic perfect hash functions: A theoretical analysis on space efficiency, time complexity, and entropy

PFC: Zero-Copy Data Compression Through Prefix-Free Codecs and Generic Programming

The Beautiful Deception: How 256 Bits Pretend to be Infinity

How do you store infinity in 256 bits? An exploration of the fundamental deception at the heart of cryptography: using finite information to simulate infinite randomness.

Known Plaintext Attacks on Time Series Encryption

Analysis of known plaintext attack vulnerabilities in time series encryption schemes.

Perfect Hashing: Space Bounds, Entropy, and Cryptographic Security

What if a perfect hash function could simultaneously be: (1) cryptographically secure, (2) space-optimal, and (3) maximum-entropy encoded? This paper proves such a construction exists—and analyzes exactly what you sacrifice to get all three.

The …

The Beautiful Deception: How 256 Bits Pretend to be Infinity

The Beautiful Deception: How 256 Bits Pretend to be Infinity

A Boolean Algebra Over Trapdoors

A Boolean algebra framework over trapdoors for cryptographic operations. Introduces a homomorphism from powerset Boolean algebra to n-bit strings via cryptographic hash functions, enabling secure computations with one-way properties.

Algebraic Hashing: Composable Hash Functions Through XOR

Most hash libraries treat hash functions as black boxes. Algebraic Hashing exposes their mathematical structure, letting you compose hash functions like algebraic expressions—with zero runtime overhead.

The Core Insight

Hash functions form an abelian …

Time Series Analysis of Confidentiality Degradation in Encrypted Search Systems

Estimating How Confidential Encrypted Searches Are Using Moving Average Bootstrap Method

IEEE Paper: Estimating How Confidential Encrypted Searches Are Using Moving Average Bootstrap Method

Published IEEE paper on using bootstrap methods to estimate encrypted search confidentiality against frequency attacks.

Encrypted Search - Enabling Standard Information Retrieval Techniques for Several New Secure Index Types While Preserving Confidentiality Against an Adversary With Access to Query Histories and Secure Index Contents