Best Known (132, 132+122, s)-Nets in Base 4
(132, 132+122, 130)-Net over F4 — Constructive and digital
Digital (132, 254, 130)-net over F4, using
- t-expansion [i] based on digital (105, 254, 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
(132, 132+122, 202)-Net over F4 — Digital
Digital (132, 254, 202)-net over F4, using
(132, 132+122, 2473)-Net in Base 4 — Upper bound on s
There is no (132, 254, 2474)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 843 057368 038976 138746 029881 876898 021016 693020 747556 700502 133158 773304 320176 332644 396514 969947 429707 105945 373899 677510 022400 596124 710767 155320 762978 308640 > 4254 [i]