Best Known (217−104, 217, s)-Nets in Base 4
(217−104, 217, 130)-Net over F4 — Constructive and digital
Digital (113, 217, 130)-net over F4, using
- t-expansion [i] based on digital (105, 217, 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
(217−104, 217, 176)-Net over F4 — Digital
Digital (113, 217, 176)-net over F4, using
(217−104, 217, 2151)-Net in Base 4 — Upper bound on s
There is no (113, 217, 2152)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 45007 011606 202065 265733 853286 444096 895569 249609 254405 128099 081909 923721 567012 249235 392195 097503 119419 461571 302676 074734 807172 200900 > 4217 [i]