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cs.IT2019★ 4 cited
Explicit and Efficient Constructions of Coding Schemes for the Binary Deletion Channel and the Poisson Repeat Channel
Roni Con, Amir Shpilka
This work gives an explicit construction of a family of error correcting codes for the binary deletion channel and for the Poisson repeat channel. In the binary deletion channel wi…
math.CO2019
Sylvester-Gallai type theorems for quadratic polynomials
Amir Shpilka
We prove Sylvester-Gallai type theorems for quadratic polynomials. Specifically, we prove that if a finite collection , of irreducible polynomials of degree at most …