70 citations · 129 across the 18 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math.CA2023
-Besicovitch sets do not exist in and for
Manik Dhar
Besicovitch showed that a compact set in which contains a unit line segment in every direction can have measure . These constructions also work over other metric…
cs.IT2023★ 2 cited
AG Codes Achieve List-decoding Capacity over Constant-sized Fields
Joshua Brakensiek, Manik Dhar, Sivakanth Gopi +1
The recently-emerging field of higher order MDS codes has sought to unify a number of concepts in coding theory. Such areas captured by higher order MDS codes include maximally rec…
cs.IT2023★ 1 cited
Generalized GM-MDS: Polynomial Codes are Higher Order MDS
Joshua Brakensiek, Manik Dhar, Sivakanth Gopi
The GM-MDS theorem, conjectured by Dau-Song-Dong-Yuen and proved by Lovett and Yildiz-Hassibi, shows that the generator matrices of Reed-Solomon codes can attain every possible con…