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

TL;DR

This paper introduces a unified, iterative encoding framework for multidimensional parametric constraints, enhancing storage system performance by efficiently handling array constraints that depend on sequence length.

Contribution

It extends existing parametric constrained coding methods to multidimensional arrays, providing a versatile and efficient encoding framework for complex storage and communication applications.

Findings

Successfully applied to various existing constraints

Demonstrated efficiency in multidimensional array encoding

Highlights potential for improved storage system reliability

Abstract

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.