2 papers
cs.IT2025
Tracing AG Codes: Toward Meeting the Gilbert-Varshamov Bound
Gil Cohen, Dean Doron, Noam Goldgraber +1
One of the oldest problems in coding theory is to match the Gilbert-Varshamov bound with explicit binary codes. Over larger-yet still constant-sized-fields, algebraic-geometry code…
math.CV2016
Differential inequalities and a Marty-type criterion for quasi-normality
Jürgen Grahl, Tomer Manket, Shahar Nevo
We show that the family of all holomorphic functions in a domain satisfying $$\frac{|f^{(k)}|}{1+|f|}(z)\le C \qquad \mbox{ for all } z\in D$$ (where is a natural numbe…