Best Known (88, 168, s)-Nets in Base 4
(88, 168, 104)-Net over F4 — Constructive and digital
Digital (88, 168, 104)-net over F4, using
- t-expansion [i] based on digital (73, 168, 104)-net over F4, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the 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) = 73 and N(F) ≥ 104, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
(88, 168, 144)-Net over F4 — Digital
Digital (88, 168, 144)-net over F4, using
(88, 168, 1742)-Net in Base 4 — Upper bound on s
There is no (88, 168, 1743)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 140293 803523 132635 772285 176282 144352 701759 810919 836385 024509 955705 100595 466005 269112 475319 488687 245022 > 4168 [i]