Best Known (224−110, 224, s)-Nets in Base 4
(224−110, 224, 130)-Net over F4 — Constructive and digital
Digital (114, 224, 130)-net over F4, using
- t-expansion [i] based on digital (105, 224, 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
(224−110, 224, 168)-Net over F4 — Digital
Digital (114, 224, 168)-net over F4, using
(224−110, 224, 1969)-Net in Base 4 — Upper bound on s
There is no (114, 224, 1970)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 745 587926 720450 946545 095468 083128 489180 766636 479491 448186 715526 115060 294847 570991 056841 488069 351760 596773 115662 501837 316769 584947 227840 > 4224 [i]