Best Known (107, 107+112, s)-Nets in Base 4
(107, 107+112, 130)-Net over F4 — Constructive and digital
Digital (107, 219, 130)-net over F4, using
- t-expansion [i] based on digital (105, 219, 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
(107, 107+112, 145)-Net over F4 — Digital
Digital (107, 219, 145)-net over F4, using
(107, 107+112, 1591)-Net in Base 4 — Upper bound on s
There is no (107, 219, 1592)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 730625 673959 626219 262389 713814 392131 672930 543203 349413 095463 919444 051263 106603 727008 321005 966377 727074 554812 032672 407980 878729 845920 > 4219 [i]