10 citations · 22 across the 6 of their papers we have counts for
9 papers
Codes with hierarchical locality from covering maps of curves
Sean Ballentine, Alexander Barg, Serge Vladuts
Locally recoverable (LRC) codes provide ways of recovering erased coordinates of the codeword without having to access each of the remaining coordinates. A subfamily of LRC codes w…
Integral geometry of Euler equations
Nikolai Nadirashvili, Serge Vlăduţ
We develop an integral geometry of stationary Euler equations defining some function on the Grassmannian of affine lines in the space. This function depends on a putative compa…
Locally recoverable codes on algebraic curves
Alexander Barg, Itzhak Tamo, Serge Vladuts
A code over a finite alphabet is called locally recoverable (LRC code) if every symbol in the encoding is a function of a small number (at most ) other symbols of the codeword.…
On the Doubly Sparse Compressed Sensing Problem
Grigory Kabatiansky, Cedric Tavernier, Serge Vladuts
A new variant of the Compressed Sensing problem is investigated when the number of measurements corrupted by errors is upper bounded by some value l but there are no more restricti…
Locally recoverable codes on algebraic curves
Alexander Barg, Itzhak Tamo, Serge Vladut
A code over a finite alphabet is called locally recoverable (LRC code) if every symbol in the encoding is a function of a small number (at most r) other symbols. A family of linear…
Homogeneous Solutions of Fully Nonlinear Elliptic Equations in Four Dimensions
Nikolai Nadirashvili, Serge Vladuts
We prove that there is no nontrivial homogeneous order 2 solutions of fully nonlinear uniformly elliptic equations in dimension 4.