Best Known (112, 184, s)-Nets in Base 4
(112, 184, 130)-Net over F4 — Constructive and digital
Digital (112, 184, 130)-net over F4, using
- t-expansion [i] based on digital (105, 184, 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
(112, 184, 292)-Net over F4 — Digital
Digital (112, 184, 292)-net over F4, using
(112, 184, 5656)-Net in Base 4 — Upper bound on s
There is no (112, 184, 5657)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 602 685249 235634 838166 207237 168653 346293 377931 885711 743690 394286 640135 083905 777332 578597 429858 707800 700773 828320 > 4184 [i]