Best Known (120, 120+82, s)-Nets in Base 4
(120, 120+82, 130)-Net over F4 — Constructive and digital
Digital (120, 202, 130)-net over F4, using
- t-expansion [i] based on digital (105, 202, 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
(120, 120+82, 281)-Net over F4 — Digital
Digital (120, 202, 281)-net over F4, using
(120, 120+82, 4944)-Net in Base 4 — Upper bound on s
There is no (120, 202, 4945)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 41 578289 054902 269273 354592 343195 151573 400876 033255 228245 171343 580394 343247 339283 845153 516585 507356 983330 344798 453627 638000 > 4202 [i]