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arXiv · 1910.05894

Moment subset sums over finite fields

Tim Lai·Alicia Marino·Angela Robinson·Daqing Wan
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Abstract

The $k$-subset sum problem over finite fields is a classical NP-complete problem.Motivated by coding theory applications, a more complex problem is the higher $m$-th moment $k$-subset sum problem over finite fields. We show that there is a deterministic polynomial time algorithm for the $m$-th moment $k$-subset sum problem over finite fields for each fixed $m$ when the evaluation set is the image set of a monomial or Dickson polynomial of any degree $n$. In the classical case $m=1$, this recovers previous findings.

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Tim Lai, Alicia Marino, Angela Robinson, Daqing Wan. 2019-10-14. Moment subset sums over finite fields. https://arxiv.org/abs/1910.05894

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