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Efficient Design of Capacity-Approaching Two-Dimensional Weight-Constrained Codes
Conference proceeding

Efficient Design of Capacity-Approaching Two-Dimensional Weight-Constrained Codes

Tuan Thanh Nguyen, Kui Cai, Kees A. Schouhamer Immink, Yeow Meng Chee and IEEE
2021 IEEE International Symposium on Information Theory (ISIT), Vol.2021-, pp.2930-2935
12/07/2021

Abstract

Arrays Channel capacity Complexity theory Encoding Memory
In this work, given n, p > 0 , efficient encoding/decoding algorithms are presented for mapping arbitrary data to and from n\times n binary arrays in which the weight of every row and every column is at most pn . Such constraint, referred as p -bounded-weight-constraint, is crucial for reducing the parasitic currents in the crossbar resistive memory arrays, and has also been proposed for certain applications of the holographic data storage. While low-complexity designs have been proposed in the literature for only the case p=1/2 , this work provides efficient coding methods that work for arbitrary values of p . The coding rate of our proposed encoder approaches the channel capacity for all p .

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