4 papers
Pseudorandomness of Expander Walks via Fourier Analysis on Groups
Fernando Granha Jeronimo, Tushant Mittal, Sourya Roy
One approach to study the pseudorandomness properties of walks on expander graphs is to label the vertices of an expander with elements from an alphabet , and study the mean of…
Explicit Codes approaching Generalized Singleton Bound using Expanders
Fernando Granha Jeronimo, Tushant Mittal, Shashank Srivastava +1
We construct a new family of explicit codes that are list decodable to capacity and achieve an optimal list size of . In contrast to existing explicit constructions o…
List Decodable Quantum LDPC Codes
Thiago Bergamaschi, Fernando Granha Jeronimo, Tushant Mittal +2
We give a construction of Quantum Low-Density Parity Check (QLDPC) codes with near-optimal rate-distance tradeoff and efficient list decoding up to the Johnson bound in polynomial…
The Mahler measure for arbitrary tori
Matilde Lalin, Tushant Mittal
We consider a variation of the Mahler measure where the defining integral is performed over a more general torus. We focus our investigation on two particular polynomials related t…