标题： 单比特冗余框架在多维参数约束中的应用 显示英文标题

标题： A Single-Bit Redundancy Framework for Multi-Dimensional Parametric Constraints

摘要： 约束编码在优化性能和减轻存储和通信等领域中的错误方面起着关键作用，在这些领域中，码字需要满足特定的约束条件。尽管非参数化约束已经得到了充分的研究，但依赖于序列长度的参数化约束传统上是通过临时解决方案来处理的。最近的进展引入了参数化约束编码的统一方法。本文将这些方法扩展到多维设置，将迭代框架推广以高效地编码受参数化约束的数组。我们展示了该方法应用于现有和新约束的情况，突显了其多功能性和在先进存储系统中的潜力。 显示英文摘要

摘要： Constrained coding plays a key role in optimizing performance and mitigating errors in applications such as storage and communication, where specific constraints on codewords are required. While non-parametric constraints have been well-studied, parametric constraints, which depend on sequence length, have traditionally been tackled with ad hoc solutions. Recent advances have introduced unified methods for parametric constrained coding. This paper extends these approaches to multidimensional settings, generalizing an iterative framework to efficiently encode arrays subject to parametric constraints. We demonstrate the application of the method to existing and new constraints, highlighting its versatility and potential for advanced storage systems.