Best Known (197−86, 197, s)-Nets in Base 4
(197−86, 197, 130)-Net over F4 — Constructive and digital
Digital (111, 197, 130)-net over F4, using
- t-expansion [i] based on digital (105, 197, 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
(197−86, 197, 218)-Net over F4 — Digital
Digital (111, 197, 218)-net over F4, using
(197−86, 197, 3190)-Net in Base 4 — Upper bound on s
There is no (111, 197, 3191)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 40617 315092 074536 605636 273301 786747 878255 510929 696442 525032 915254 229199 998030 003864 044858 692239 616563 507580 118501 933520 > 4197 [i]