June 6, 2023, 9 a.m. |

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ePrint Report: Reed-Solomon Codes over the Circle Group

Ulrich Haböck, Daniel Lubarov, Jacqueline Nabaglo


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 …

circle daniel definition discuss domain eprint report extension functions prime report

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