Best Known (130, 130+98, s)-Nets in Base 4
(130, 130+98, 130)-Net over F4 — Constructive and digital
Digital (130, 228, 130)-net over F4, using
- t-expansion [i] based on digital (105, 228, 130)-net over F4, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
(130, 130+98, 260)-Net over F4 — Digital
Digital (130, 228, 260)-net over F4, using
(130, 130+98, 3992)-Net in Base 4 — Upper bound on s
There is no (130, 228, 3993)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 186882 262886 782080 148043 453040 900821 534606 531936 786350 906735 428946 843056 835760 221807 680995 515414 179892 297212 005037 674018 518304 257964 383024 > 4228 [i]