Best Known (110, 110+76, s)-Nets in Base 4
(110, 110+76, 130)-Net over F4 — Constructive and digital
Digital (110, 186, 130)-net over F4, using
- t-expansion [i] based on digital (105, 186, 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
(110, 110+76, 256)-Net over F4 — Digital
Digital (110, 186, 256)-net over F4, using
(110, 110+76, 4400)-Net in Base 4 — Upper bound on s
There is no (110, 186, 4401)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 9620 254014 452304 816453 987474 929387 653469 739549 682340 110897 600312 851474 853347 379049 545834 162176 229334 466842 844088 > 4186 [i]