Negative Shaping Order K in Set Shaping Theory: A Comprehensive Analysis
Information Theory
2024-07-15 v2 math.IT
Abstract
This paper explores an innovative aspect of the Set Shaping Theory, the use of a negative shaping order K. Traditionally, the theory utilizes a positive K to extend the length of data strings, enhancing their testability and compressibility. We propose a paradigm shift by employing a negative K, which shortens data strings and potentially improves compression efficiency. However, this approach sacrifices the local testability of the data, a cornerstone in traditional Set Shaping Theory. We examine the theoretical implications, practical benefits, and challenges of this new methodology.
Cite
@article{arxiv.2407.03322,
title = {Negative Shaping Order K in Set Shaping Theory: A Comprehensive Analysis},
author = {Sochima Biereagu},
journal= {arXiv preprint arXiv:2407.03322},
year = {2024}
}