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Electronic Colloquium on Computational Complexity

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TR19-033 | 20th February 2019
Ashish Dwivedi, Rajat Mittal, Nitin Saxena

Counting basic-irreducible factors mod $p^k$ in deterministic poly-time and $p$-adic applications

Finding an irreducible factor, of a polynomial $f(x)$ modulo a prime $p$, is not known to be in deterministic polynomial time. Though there is such a classical algorithm that {\em counts} the number of irreducible factors of $f\bmod p$. We can ask the same question modulo prime-powers $p^k$. The irreducible ... more >>>




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