Best Known (120, 120+98, s)-Nets in Base 4
(120, 120+98, 130)-Net over F4 — Constructive and digital
Digital (120, 218, 130)-net over F4, using
- t-expansion [i] based on digital (105, 218, 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+98, 217)-Net over F4 — Digital
Digital (120, 218, 217)-net over F4, using
(120, 120+98, 2998)-Net in Base 4 — Upper bound on s
There is no (120, 218, 2999)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 177644 014570 081615 891182 467156 235753 564553 430967 288457 029354 286825 618607 752049 615600 736905 095695 240494 124638 715859 442168 018448 565894 > 4218 [i]