Error detecting and correcting codes are based on significant distance between two bit strings in terms of the number of bits that have to alter to get from the first ...

Cyclic and constacyclic codes form a pivotal class of linear error‐correcting codes that are defined over finite fields. Their algebraic structure, characterised by ideals in polynomial quotient rings ...

The FEC on a CD uses interleaving and layering. A short {32, 28} code is used to correct errors read from the track. Any it cannot correct are marked as erasures and the result is de-interleaved. The ...

It’s calculated at both ends of the link and doesn’t involve any stored codes. On-chip and link ECC could be combined to cover end-to-end. A cyclic redundancy check (CRC) is another option for ...

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 ...

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 ...

Universal fault-tolerant quantum computing relies on the implementation of quantum error correction. An essential milestone is the achievement of error-corrected ...

Unlike binary bits of information in ordinary computers, “qubits” consist of quantum particles that have some probability of being in each of two states, designated |0 and |1 , at the same time. When ...