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The theory of error-correcting codes stems from Shannon's 1948 _A mathematical theory of communication_, and from Hamming's 1950 "Error detecting and error correcting codes".

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Efficient computation of $x^n \bmod g(x)$ in $\mathbb{F}_2[x]$

Related to this question. I wish to compute $x^n \bmod g(x)$ in $\mathbb{F}_2[x]$ for some fixed and known upfront $g$. This problem pops up in computing the 'pure' CRC function of a bit sequence of a …
Kamila Szewczyk's user avatar