Shashank Srivastava

most citedUnique Decoding of Explicit

ε

-balanced Codes Near the Gilbert-Varshamov Bound

3 citations · 3 across the 2 of their papers we have counts for

collaborators

4 papers

cs.DS2020★ 3 cited

Unique Decoding of Explicit $ε$ -balanced Codes Near the Gilbert-Varshamov Bound

Fernando Granha Jeronimo, Dylan Quintana, Shashank Srivastava +1

The Gilbert-Varshamov bound (non-constructively) establishes the existence of binary codes of distance $1/2 - ε$ and rate $Ω (ε^{2})$ (where an upper bound of $O (ε^{2} lo g (1/ ε))$ is know…

cs.DS2020

List Decoding of Direct Sum Codes

Vedat Levi Alev, Fernando Granha Jeronimo, Dylan Quintana +2

We consider families of codes obtained by "lifting" a base code $C$ through operations such as $k$ -XOR applied to "local views" of codewords of $C$ , according t…

math.CO2020

Modular and fractional L-intersecting families of vector spaces

Rogers Mathew, Tapas Kumar Mishra, Ritabrata Ray +1

In the first part of this paper, we prove a theorem which is the $q$ -analogue of a generalized modular Ray-Chaudhuri-Wilson Theorem shown in [Alon, Babai, Suzuki, J. Combin. Theory…

math.CO2019

Fractional cross intersecting families

Rogers Mathew, Ritabrata Ray, Shashank Srivastava

Let $A = {A_{1}, ..., A_{p}}$ and $B = {B_{1}, ..., B_{q}}$ be two families of subsets of $[n]$ such that for every $i \in [p]$ and $j \in [q]$ , $|A_{i}\cap B_{j}|= \…

Unique Decoding of Explicit ε-balanced Codes Near the Gilbert-Varshamov Bound

List Decoding of Direct Sum Codes

Modular and fractional L-intersecting families of vector spaces

Fractional cross intersecting families

Unique Decoding of Explicit $ε$ -balanced Codes Near the Gilbert-Varshamov Bound