A practical field guide to the ten keyed MAC constructions covered by the HMAC + BLAKE3 + SHA-3 + Poly1305 + BLAKE2 linter: key length, tag truncation, one-time Poly1305 keys, KMAC domain separation, and self-test vectors.
Atbash is the simplest substitution cipher in the alphabet: encode and decode are the same operation because the 26-letter mirror is its own inverse. Field guide covers the position formula, boundary cases, and practical uses.
Modular arithmetic field guide: five operations (add, subtract, multiply, inverse, power) with BigInt precision up to 10^18. Walks through the extended Euclidean algorithm for inverse, square-and-multiply for power, and the canonical [0, m-1] representative.
A field guide to the URL-safe Base64 variant that powers JWT, JWS, and JWE — the three-character substitution that lets tokens survive URL parsing, the four operations in the encoder, the four edge cases that catch first-time auditors, and a six-tool companion pipeline for JWT debugging.