Best Known (132, 132+118, s)-Nets in Base 4
(132, 132+118, 130)-Net over F4 — Constructive and digital
Digital (132, 250, 130)-net over F4, using
- t-expansion [i] based on digital (105, 250, 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+118, 210)-Net over F4 — Digital
Digital (132, 250, 210)-net over F4, using
(132, 132+118, 2657)-Net in Base 4 — Upper bound on s
There is no (132, 250, 2658)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 300998 167597 864355 171404 744406 093961 562832 233598 716773 071291 302576 825588 393394 341547 426220 013023 188900 730471 316094 646568 559941 510253 560818 528991 946080 > 4250 [i]