Best Known (107, 107+93, s)-Nets in Base 4
(107, 107+93, 130)-Net over F4 — Constructive and digital
Digital (107, 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
(107, 107+93, 181)-Net over F4 — Digital
Digital (107, 200, 181)-net over F4, using
(107, 107+93, 2376)-Net in Base 4 — Upper bound on s
There is no (107, 200, 2377)-net in base 4, because
- 1 times m-reduction [i] would yield (107, 199, 2377)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 657589 914929 998777 151475 546203 021757 246198 912628 249013 711317 467880 167678 933875 703593 719124 460639 899147 659132 023717 063328 > 4199 [i]