Best Known (91−24, 91, s)-Nets in Base 3
(91−24, 91, 228)-Net over F3 — Constructive and digital
Digital (67, 91, 228)-net over F3, using
- 31 times duplication [i] based on digital (66, 90, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 30, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- trace code for nets [i] based on digital (6, 30, 76)-net over F27, using
(91−24, 91, 375)-Net over F3 — Digital
Digital (67, 91, 375)-net over F3, using
(91−24, 91, 10965)-Net in Base 3 — Upper bound on s
There is no (67, 91, 10966)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 26 185564 220148 175171 994270 599518 372355 009113 > 391 [i]