When ξ grows faster than the logarithm of the system size, the time needed becomes super-polynomial, effectively making the problem impossible to solve in any reasonable timeframe. This highlights the ...

Abstract: Factoring large integers has been one of the most difficult problems in the history of mathematics and computer science. There was no efficient solution of this problem until Shor's ...

During calibration of the analog current sensor on several FCs (GEPRC / Matek / iFlight), I noticed a significant non-linearity when using the standard Betaflight model: Current [A] = (ADC[mV] * 10) / ...

Abstract: In this paper, we present a fast Fourier transform algorithm over extension binary fields, where the polynomial is represented in a non-standard basis. The proposed Fourier-like transform ...

This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields. The explicit construction of finite fields and the ...