Best Known (119, 119+80, s)-Nets in Base 4
(119, 119+80, 130)-Net over F4 — Constructive and digital
Digital (119, 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
(119, 119+80, 286)-Net over F4 — Digital
Digital (119, 199, 286)-net over F4, using
(119, 119+80, 5166)-Net in Base 4 — Upper bound on s
There is no (119, 199, 5167)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 649407 689832 199195 710842 518386 519213 646870 739911 491245 354386 741488 669186 889501 537090 258525 967022 044605 637150 342478 985699 > 4199 [i]