Reproduce “Good rational functions up to degree six” on OpenResearch
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About this paper
Anuvrat Jaindungarwal, Divyesh Vaghasiya
The authors classify minimum common arithmetic and geometric Galois-group orders for good rational functions of degree at most six over fields of characteristic two. Such functions group projective-line points into fibers, enabling repair by interpolation from other coordinates. The minimum is 6 in degree six for every 2^m; recurrence results count split fibers under stated hypotheses, not demonstrated code-length gains.
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