Best Known (132, 242, s)-Nets in Base 4
(132, 242, 130)-Net over F4 — Constructive and digital
Digital (132, 242, 130)-net over F4, using
- t-expansion [i] based on digital (105, 242, 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, 242, 230)-Net over F4 — Digital
Digital (132, 242, 230)-net over F4, using
(132, 242, 3125)-Net in Base 4 — Upper bound on s
There is no (132, 242, 3126)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 50 633712 555562 542425 245770 768441 989828 881900 499125 646161 500741 453224 945039 820972 978757 155429 387291 325393 835880 058103 654020 471688 911095 726792 991024 > 4242 [i]