Improved asymptotically optimal error correcting codes for avoidance crosstalk type-IV on-chip data buses

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Authors

Ajmal, Muhammad
Ur Rehman, Masood
Rodrigues, Bernardo G.

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Springer

Abstract

The first memory-less transition bus encoding technique for low power dissipation, crosstalk avoidance, and error correction simultaneously was presented by Chee et al. (Des Codes Cryptogr 77(2–4):479–491, 2015). They construct optimal or asymptotically optimal constant weight codes that eliminate each kind of crosstalk. In this article, we construct the improved asymptotically optimal (n, 4, 3)-IV code for all even orders n≥14 by using a combinatorial design approach. Furthermore, we show that an optimal weighted three code avoiding type-III crosstalk is also an optimal code avoiding the crosstalk of type-{III, IV}, for each odd order n≥3.

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DATA AVAILABILITY : The figures, tables and other data used to support this study are included within the article.

Keywords

Crosstalk, Balanced sampling plans avoiding adjacent unit (BSA), Incomplete group divisible design (IGDD), Leave graph

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Citation

Ajmal, M., Ur Rehman, M. & Rodrigues, B.G. Improved asymptotically optimal error correcting codes for avoidance crosstalk type-IV on-chip data buses. Computational and Applied Mathematics 42, 150 (2023). https://doi.org/10.1007/s40314-023-02284-z.