Best Known (80−62, 80, s)-Nets in Base 81
(80−62, 80, 370)-Net over F81 — Constructive and digital
Digital (18, 80, 370)-net over F81, using
- t-expansion [i] based on digital (16, 80, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
(80−62, 80, 13048)-Net in Base 81 — Upper bound on s
There is no (18, 80, 13049)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 478 106739 228193 149216 551667 579749 250471 210600 049003 468160 836046 636747 335873 888753 638696 141539 490434 868559 680922 264008 570052 418230 900057 826676 328269 961521 > 8180 [i]