Geodesic
An algorithm of computing $D$-gap numbers and $D$-Weierstrass points
Prikladnaâ diskretnaâ matematika, no. 13 (2011), pp. 6-8
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For a functional field associated with an algebraic curve and having any characteristic, an algorithm for computing $D$-gap numbers and $D$-Weierstrass points is described. 
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     author = {E. S. Alekseenko},
     title = {An algorithm of computing $D$-gap numbers and $D${-Weierstrass} points},
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     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/PDM_2011_13_a0/}
}
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E. S. Alekseenko. An algorithm of computing $D$-gap numbers and $D$-Weierstrass points. Prikladnaâ diskretnaâ matematika, no. 13 (2011), pp. 6-8. http://geodesic.mathdoc.fr/item/PDM_2011_13_a0/

[1] Kuribayashi A., Komiya K., “On Weierstrass Points of non-hyperelliptic compact Riemann surfaces of genus three”, Hiroshima Math J., 1977, no. 7, 743–768 | MR | Zbl

[2] Stichtenoth H., Algebraic Function Fields and Codes, Springer Verlag, Berlin–Heidelberg–New York, 1993 | Zbl