Best Known (108, 190, s)-Nets in Base 4
(108, 190, 130)-Net over F4 — Constructive and digital
Digital (108, 190, 130)-net over F4, using
- t-expansion [i] based on digital (105, 190, 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
(108, 190, 219)-Net over F4 — Digital
Digital (108, 190, 219)-net over F4, using
(108, 190, 3284)-Net in Base 4 — Upper bound on s
There is no (108, 190, 3285)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2 490880 338880 237070 454902 820257 198692 442114 026261 709154 482986 807428 922047 831059 457822 902975 925280 609164 204781 368736 > 4190 [i]