Hamming code tool

This tool provides encoding and decoding for Hamming codes, enabling users to transform data bits into a codeword with parity bits and to detect and correct single-bit errors. It supports standard Hamming codes and extended SECDED variants. It is designed for engineers, students, and educators who model error processes in communications, storage, and fault-tolerant systems.
Conceptually, data bits occupy non-parity positions; parity bits are placed at positions that are powers of two. Parity computations are XOR-based; decoding computes a syndrome by recalculating parities and identifying the bit position corresponding to the syndrome. If SECDED is enabled, an additional overall parity bit allows detecting double-bit errors and provides a best-effort correction path for single errors.
Core features include: flexible data length input, automatic n calculation, optional SECDED mode, explicit syndrome and error position outputs, and corrected codeword generation. It outputs: codeword bits, corrected data, and diagnostic flags. Typical use cases include validating data frames in storage subsystems, prototyping communication protocols, and teaching coding theory with concrete examples.
This tool differentiates itself by exposing both encoding and decoding workflows in a single, consistent interface, supporting arbitrary data lengths within practical limits, and delivering detailed internal diagnostics (syndrome, error index, parity verification) to aid debugging and learning.