Best Known (107, 107+67, s)-Nets in Base 4
(107, 107+67, 130)-Net over F4 — Constructive and digital
Digital (107, 174, 130)-net over F4, using
- t-expansion [i] based on digital (105, 174, 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+67, 295)-Net over F4 — Digital
Digital (107, 174, 295)-net over F4, using
(107, 107+67, 6260)-Net in Base 4 — Upper bound on s
There is no (107, 174, 6261)-net in base 4, because
- 1 times m-reduction [i] would yield (107, 173, 6261)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 143 591273 723783 254822 552247 402294 741400 850538 640367 362195 695620 769918 523425 350027 308789 180301 787271 969280 > 4173 [i]