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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 ...
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 ...
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 ...