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math.AC2025
Bounds and MacWilliams Identities for codes over Artinian rings
Eduardo Camps-Moreno, Carlos Espinosa-Valdéz, Hiram H. López +2
This work develops new foundations for the theory of linear codes over local Artinian commutative rings. We use algebraic invariants such as the socle, type, length, and minimal nu…
quant-ph2025
Quantum error-correcting codes via inner products and error bases
Jorge R. Bolaños-Servín, Yuriko Pitones, Josué I. Rios-Cangas
In this paper, we address the problem of state communication in finite-level quantum systems through noise-affected channels. Our approach is based on a self-consistent theory of d…