Best Known (115, 115+84, s)-Nets in Base 4
(115, 115+84, 130)-Net over F4 — Constructive and digital
Digital (115, 199, 130)-net over F4, using
- t-expansion [i] based on digital (105, 199, 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
(115, 115+84, 245)-Net over F4 — Digital
Digital (115, 199, 245)-net over F4, using
(115, 115+84, 3885)-Net in Base 4 — Upper bound on s
There is no (115, 199, 3886)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 647465 989071 322226 552187 466928 401186 572382 620719 589543 126934 481087 608876 123028 487029 074974 334330 143853 313107 755036 266470 > 4199 [i]