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cs.IT2019
Locally recoverable codes on surfaces
Cecília Salgado, Anthony Várilly-Alvarado, José Felipe Voloch
A linear error correcting code is a subspace of a finite-dimensional space over a finite field with a fixed coordinate system. Such a code is said to be locally recoverable with lo…
math.NT2019
Rank jumps on elliptic surfaces and the Hilbert property
Daniel Loughran, Cecília Salgado
Given an elliptic surface over a number field, we study the collection of fibres whose Mordell-Weil rank is greater than the generic rank. Under suitable assumptions, we show that…