Best Known (106, 212, s)-Nets in Base 4
(106, 212, 130)-Net over F4 — Constructive and digital
Digital (106, 212, 130)-net over F4, using
- t-expansion [i] based on digital (105, 212, 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
(106, 212, 151)-Net over F4 — Digital
Digital (106, 212, 151)-net over F4, using
(106, 212, 1714)-Net in Base 4 — Upper bound on s
There is no (106, 212, 1715)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 44 245666 434332 050253 035392 507027 660858 808622 455794 596217 131921 824736 200580 524787 090730 446314 086707 651588 023859 640431 424352 740160 > 4212 [i]