Paper 2023/824
Reed-Solomon Codes over the Circle Group
Abstract
In this note we discuss Reed-Solomon codes with domain of definition within the unit circle of the complex extension $\mathbb C(F)$ of a Mersenne prime field $F$. Within this unit circle the interpolants of “real”, i.e. $F$-valued, functions are again almost real, meaning that their values can be rectified to a real representation at almost no extra cost. Second, using standard techniques for the FFT of real-valued functions, encoding can be sped up significantly. Due to the particularly efficient arithmetic of Mersenne fields, we expect these “almost native” Reed-Solomon codes to perform as native ones based on prime fields with high two-adicity, but less processor-friendly arithmetic.
Metadata
- Available format(s)
-
PDF
- Category
- Applications
- Publication info
- Preprint.
- Keywords
- Reed-Solomon CodeSTARKFast Fourier Transform
- Contact author(s)
-
ulrich haboeck @ gmail com
daniel l @ polygon technology
jnabaglo @ polygon technology - History
- 2023-06-06: approved
- 2023-06-02: received
- See all versions
- Short URL
- https://ia.cr/2023/824
- License
-
CC BY-SA
BibTeX
@misc{cryptoeprint:2023/824,
author = {Ulrich Haböck and Daniel Lubarov and Jacqueline Nabaglo},
title = {Reed-Solomon Codes over the Circle Group},
howpublished = {Cryptology {ePrint} Archive, Paper 2023/824},
year = {2023},
url = {https://eprint.iacr.org/2023/824}
}
