Overview

A deep technical exploration into how flawed entropy sources and biased modulo arithmetic compromise the theoretical 128-bit and 256-bit security margins of BIP39 seed phrases in real-world implementations.

Research Scope

  • PRNG Implementation Flaws: Case studies of insufficient entropy seeding in embedded and browser-based wallet generators.
  • Wordlist Mapping Bias: Mathematical proof of bias when mapping random bytes to the 2048-word dictionary without rejection sampling.
  • Defensive Hardening: Best practices for hardware RNG integration and cryptographic conditioning.