Multivariable codes in principal ideal polynomial quotient rings with applications to additive modular bivariate codes over \(\mathbb{F}_4\). (English) Zbl 1427.94113
Summary: In this work, we study the structure of multivariable modular codes over finite chain rings when the ambient space is a principal ideal ring. We also provide some applications to additive modular codes over the finite field \(\mathbb{F}_4\).
MSC:
| 94B99 | Theory of error-correcting codes and error-detecting codes |
| 11T71 | Algebraic coding theory; cryptography (number-theoretic aspects) |
| 81P70 | Quantum coding (general) |
| 13M10 | Polynomials and finite commutative rings |
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