Best Known (218−100, 218, s)-Nets in Base 4
(218−100, 218, 130)-Net over F4 — Constructive and digital
Digital (118, 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
(218−100, 218, 203)-Net over F4 — Digital
Digital (118, 218, 203)-net over F4, using
(218−100, 218, 2697)-Net in Base 4 — Upper bound on s
There is no (118, 218, 2698)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 178668 753398 537682 663427 041703 795274 595236 174515 041895 389629 195579 113607 038236 330589 863027 410768 261696 027793 200866 265616 007005 711328 > 4218 [i]