Best Known (118, 234, s)-Nets in Base 4
(118, 234, 130)-Net over F4 — Constructive and digital
Digital (118, 234, 130)-net over F4, using
- t-expansion [i] based on digital (105, 234, 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, 234, 170)-Net over F4 — Digital
Digital (118, 234, 170)-net over F4, using
(118, 234, 1962)-Net in Base 4 — Upper bound on s
There is no (118, 234, 1963)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 780 353708 943563 210899 839779 046094 101165 738184 504185 796286 053601 946736 961999 467079 220145 678024 230076 527570 414820 670329 561746 716789 035048 253800 > 4234 [i]