Dylan Quintana

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

2 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…

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

List Decoding of Direct Sum Codes

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