Best Known (122, 210, s)-Nets in Base 4
(122, 210, 130)-Net over F4 — Constructive and digital
Digital (122, 210, 130)-net over F4, using
- t-expansion [i] based on digital (105, 210, 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
(122, 210, 263)-Net over F4 — Digital
Digital (122, 210, 263)-net over F4, using
(122, 210, 4261)-Net in Base 4 — Upper bound on s
There is no (122, 210, 4262)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2 708213 977298 379681 413689 183690 104745 837750 831184 785904 078416 694851 870968 543223 033091 794050 777762 241353 974017 475232 122410 367440 > 4210 [i]