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arXiv · 1804.06000

Asymptotic Achievable Rate of Two-Dimensional Constraint Codes based on Column by Column Encoding

Kazuya Hirata·Tadashi Wadayama
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Abstract

In this paper, we propose a column by column encoding scheme suitable for two-dimensional (2D) constraint codes and derive a lower bound of its maximum achievable rate. It is shown that the maximum achievable rate is equal to the largest minimum degree of a subgraph of the maximal valid pair graph. A graph theoretical analysis to provide a lower bound of the maximum achievable rate is presented. For several 2D-constraints such as the asymmetric and symmetric non-isolated bit constraints, the values of the lower bound are evaluated.

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Kazuya Hirata, Tadashi Wadayama. 2018-04-17. Asymptotic Achievable Rate of Two-Dimensional Constraint Codes based on Column by Column Encoding. https://arxiv.org/abs/1804.06000

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