Best Known (132, 132+108, s)-Nets in Base 4
(132, 132+108, 130)-Net over F4 — Constructive and digital
Digital (132, 240, 130)-net over F4, using
- t-expansion [i] based on digital (105, 240, 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+108, 235)-Net over F4 — Digital
Digital (132, 240, 235)-net over F4, using
(132, 132+108, 3268)-Net in Base 4 — Upper bound on s
There is no (132, 240, 3269)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 126943 012519 371617 923876 361013 061927 256095 325995 206448 819433 621330 014786 791359 058236 843966 100569 172639 431182 642486 558632 260930 216795 578652 163424 > 4240 [i]