173 citations
- University of Illinois Urbana-ChampaignUS13 papers
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math.NT2008
Everywhere ramified towers of global function fields
Iwan Duursma, Bjorn Poonen, Michael Zieve
We consider a tower of function fields F_0 < F_1 < ... over a finite field such that every place of every F_i ramified in the tower and the sequence genus(F_i)/[F_i:F_0] has a fini…
math.NT2004
A Generalized Floor Bound for the Minimum Distance of Geometric Goppa Codes and its Application to Two-Point Codes
Benjamin Lundell, Jason McCullough
We prove a new bound for the minimum distance of geometric Goppa codes that generalizes two previous improved bounds. We include examples of the bound to one and two point codes ov…