Best Known (132, 232, s)-Nets in Base 4
(132, 232, 130)-Net over F4 — Constructive and digital
Digital (132, 232, 130)-net over F4, using
- t-expansion [i] based on digital (105, 232, 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, 232, 262)-Net over F4 — Digital
Digital (132, 232, 262)-net over F4, using
(132, 232, 3996)-Net in Base 4 — Upper bound on s
There is no (132, 232, 3997)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 48 011013 342358 334991 308961 692168 521822 756465 978801 217907 028240 220798 550282 306770 069018 488256 185383 556534 644683 531198 334566 800720 129737 338056 > 4232 [i]