11 research outputs found
Some computational experiments in number theory
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Locally Recoverable Codes from Algebraic Curves and Surfaces
No full textA locally recoverable code is a code over a finite alphabet such that the
value of any single coordinate of a codeword can be recovered from the values
of a small subset of other coordinates. Building on work of Barg, Tamo, and
Vl\u{a}du\c{t}, we present several constructions of locally recoverable codes
from algebraic curves and surfaces.Comment: 27 page
Studying the Birch and Swinnerton-Dyer conjecture for modular abelian varieties using Magma
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