Classification of semiregular relative difference sets with gcd(λ, n)=1 attaining Turyn’s bound
Suppose a (λn,n,λn,λ) relative difference set exists in an abelian group G=S×H, where |S|=λ, |H|=n2, gcd(λ,n)=1, and λ is self-conjugate modulo λn. Then λ is a square, say λ=u2, and exp(S) divides u by Turyn’s exponent bound. We classify all such relative difference sets with exp(S)=u. We also show...
Main Authors: | Leung, Ka Hin, Schmidt, Bernhard, Zhang, Tao |
---|---|
Other Authors: | School of Physical and Mathematical Sciences |
Format: | Journal Article |
Language: | English |
Published: |
2024
|
Subjects: | |
Online Access: | https://hdl.handle.net/10356/174655 |
Similar Items
-
Structure of group invariant weighing matrices of small weight
by: Leung, Ka Hin, et al.
Published: (2018) -
Open cases for cyclic difference sets : application of weil numbers
by: Tan, Ming Ming
Published: (2013) -
Two-valued periodic complementary sequences
by: Li, Xudong, et al.
Published: (2019) -
Adversary lower bounds for the collision and the set equality problems
by: Belovs, Aleksandrs, et al.
Published: (2020) -
Divisible quantum dynamics satisfies temporal Tsirelson’s bound
by: Le, Thao, et al.
Published: (2017)