Best Known (118, 118+84, s)-Nets in Base 4
(118, 118+84, 130)-Net over F4 — Constructive and digital
Digital (118, 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
(118, 118+84, 260)-Net over F4 — Digital
Digital (118, 202, 260)-net over F4, using
(118, 118+84, 4293)-Net in Base 4 — Upper bound on s
There is no (118, 202, 4294)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 41 413698 930919 814486 910334 769935 164511 383000 369610 443795 666054 993819 518634 892808 119754 931310 659301 181422 724587 907269 342960 > 4202 [i]