Best Known (73−66, 73, s)-Nets in Base 128
(73−66, 73, 216)-Net over F128 — Constructive and digital
Digital (7, 73, 216)-net over F128, using
- t-expansion [i] based on digital (5, 73, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
(73−66, 73, 262)-Net over F128 — Digital
Digital (7, 73, 262)-net over F128, using
- net from sequence [i] based on digital (7, 261)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 7 and N(F) ≥ 262, using
(73−66, 73, 4736)-Net in Base 128 — Upper bound on s
There is no (7, 73, 4737)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 6722 441774 880745 205877 665466 839023 896037 464032 910326 735193 715545 617707 216721 608015 115482 655125 355514 274927 155657 046966 422362 704079 500418 897321 333361 666432 > 12873 [i]