Linear codes have long been central to the development of error‐correcting methods in communication and data storage, while matroid theory provides a unifying combinatorial framework for understanding ...
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This paper sets a foundation for the study of linear codes over finite rings. The finite Frobenius rings are singled out as the most appropriate for coding theoretic purposes because two classical ...
A quaternary linear code is a linear space over the ring of integers modulo 4. Recent research in coding theory shows that many famous nonlinear codes such as the Nordstrom and Robinson (1967) code ...
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 ...
George Laurer had no idea his design would reach well beyond retail outlets when he created the black line and number sets known as the modern bar code while working for IBM as an engineer. Forty ...