Quantum error‐correcting codes (QECCs) have emerged as a crucial instrument in the quest to realise reliable quantum information processing. These codes utilise sophisticated mathematical frameworks ...

Number parity duality and non-distributive arithmetic lead to a nonlinear error-correcting code over ℤ which generalizes linear Hamming codes. Journal Information One of the ways that Pi Mu Epsilon ...

Quantum computing is still really, really hard. But the rise of a powerful class of error-correcting codes suggests that the task might be slightly more feasible than many feared. The Quanta ...

The same codes needed to thwart errors in quantum computers may also give the fabric of space-time its intrinsic robustness. Unlike binary bits of information in ordinary computers, “qubits” consist ...

Many types of error-correcting techniques exist, but in data communications, Hamming encoding probably finds the widest use. Unlike serial-port communications that use a single parity bit, Hamming ...