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#coding-theory

2 articles

01 ·Coding Theory·★ MEMBER·11 min read LDPC and Turbo Codes — The Error Correction Behind 5G and Deep Space Shannon proved in 1948 that these codes exist, and nobody could build one for 45 years. Starting from zero background, this article unpacks the three ideas — soft decisions, log-likelihood ratios, and belief propagation — that finally reached the theoretical limit, and shows what actually runs in 5G NR and deep-space links. 02 ·Coding Theory·FREE·11 min read Error Correction from Scratch — Sending Data on the Assumption It Will Break Starting from a single parity bit, this article builds up Hamming distance, syndrome decoding and Reed–Solomon codes with no assumed background, then explains why a smudged QR code still scans — and where ECC bites you in production.