4 papers
math.CO2020
A construction of minimal linear codes from partial difference sets
Ran Tao, Tao Feng, Weicong Li
In this paper, we study a class of linear codes defined by characteristic functions of certain subsets of a finite field. We derive a sufficient and necessary condition for such a…
math.GT2019
Connected sums of knots do not admit purely cosmetic surgeries
Ran Tao
Two Dehn surgeries on a knot are called purely cosmetic if their surgered manifolds are homeomorphic as oriented manifolds. Gordon conjectured that non-trivial knots in do no…
math.CO2019
An infinite family of -ovoids of
Tao Feng, Ran Tao
In this paper, we construct an infinite family of -ovoids of the generalized quadrangle , for and . Together with the exampl…
math.GT2018
Cable knots do not admit cosmetic surgeries
Ran Tao
Two Dehn surgeries on a knot are called purely cosmetic if their surgered manifolds are homeomorphic as oriented manifolds. Gordon conjectured that non-trivial knots in do no…