Abstract The property of non-catastrophicity of multidimensional convolutional codes is studied. In particular, an algebraic and system-theoretic characterization of non-catastrophicity is offered in the multidimensional setting, and the Massey–Sain classical criterion is extended to this setting.

中文翻译：

---

多维卷积编码中的非灾难性

摘要 研究了多维卷积码的非灾难性特性。特别是，在多维环境中提供了非灾难性的代数和系统理论表征，并且将 Massey-Sain 经典标准扩展到这种环境。