Best Known (106, 106+94, s)-Nets in Base 4
(106, 106+94, 130)-Net over F4 — Constructive and digital
Digital (106, 200, 130)-net over F4, using
- t-expansion [i] based on digital (105, 200, 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
(106, 106+94, 175)-Net over F4 — Digital
Digital (106, 200, 175)-net over F4, using
(106, 106+94, 2194)-Net in Base 4 — Upper bound on s
There is no (106, 200, 2195)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2 591634 684503 520131 546462 564639 206595 171054 754187 230590 310340 700443 979799 466453 598095 736132 914082 260235 263221 425219 626240 > 4200 [i]