Best Known (105, 195, s)-Nets in Base 4
(105, 195, 130)-Net over F4 — Constructive and digital
Digital (105, 195, 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
(105, 195, 181)-Net over F4 — Digital
Digital (105, 195, 181)-net over F4, using
(105, 195, 2350)-Net in Base 4 — Upper bound on s
There is no (105, 195, 2351)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2525 845519 647644 434549 747332 695145 114213 586674 739224 466065 028101 615385 922220 616198 291568 294970 692079 258930 366875 289526 > 4195 [i]