SAGE

Research

  1. GUAVA homepage,
  2. (with Amy Ksir and Tony Shaska) Bases for Riemann-Roch spaces of hyperelliptic curves - draft of a paper which describes an explicit constructive method for computing a basis B of L(D)=LC(D), where C denote a hyperelliptic curve and let D be an effective divisor on C. Examples using SAGE are given. Uses rrbasis3.sage. The latex source is also available.
  3. (with Amy Ksir) Automorphism groups of some AG codes. We show that in many cases, the automorphism group of a curve and the permutation automorphism group of a corresponding AG code are the same. SAGE is uses in some examples. Appeared in IEEE Trans. Info. Theory, vol 52, July 2006, pp 3325-3329.

  4. Slides for talk at the coding theory session of ACA 2007.
  5. White paper on NSF's CAS funding (pdf, latex) with William Stein.
  6. AMS Notices opinion column on open source CAS funding (pdf, latex) with William Stein.
  7. Draft of a survey paper on Duursma zeta functions. Related SAGE code for computing Duursma zeta functions of extremal codes (using a fast method derived from Duursma, Extremal weight enumerators and ultraspherical polynomials, Discrete Mathematics, vol. 268, no. 1-3, pp. 103-127, July 2003).
  8. Draft of a paper on quadratic residue codes and hyperelliptic curves, with SAGE code. Appeared in DMTCS.
  9. A start to a completely open source database of self-dual codes. Lengths n<=20 are complete and there are some of length n=22.

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David Joyner Last updated: 4-1-2008