Best Known (107, 107+91, s)-Nets in Base 4
(107, 107+91, 130)-Net over F4 — Constructive and digital
Digital (107, 198, 130)-net over F4, using
- t-expansion [i] based on digital (105, 198, 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+91, 186)-Net over F4 — Digital
Digital (107, 198, 186)-net over F4, using
(107, 107+91, 2502)-Net in Base 4 — Upper bound on s
There is no (107, 198, 2503)-net in base 4, because
- 1 times m-reduction [i] would yield (107, 197, 2503)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 40605 578963 505756 742255 908369 850212 503274 717274 435354 304225 090944 601020 956962 225010 671128 061092 146199 497840 098950 078384 > 4197 [i]