Best Known (91−48, 91, s)-Nets in Base 27
(91−48, 91, 182)-Net over F27 — Constructive and digital
Digital (43, 91, 182)-net over F27, using
- (u, u+v)-construction [i] based on
- digital (9, 33, 88)-net over F27, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- digital (10, 58, 94)-net over F27, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
- digital (9, 33, 88)-net over F27, using
(91−48, 91, 370)-Net in Base 27 — Constructive
(43, 91, 370)-net in base 27, using
- 17 times m-reduction [i] based on (43, 108, 370)-net in base 27, using
- base change [i] based on digital (16, 81, 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
- base change [i] based on digital (16, 81, 370)-net over F81, using
(91−48, 91, 418)-Net over F27 — Digital
Digital (43, 91, 418)-net over F27, using
(91−48, 91, 100830)-Net in Base 27 — Upper bound on s
There is no (43, 91, 100831)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 17955 460378 881622 274901 202246 168343 679345 024685 339535 892696 293402 387946 806932 991388 181054 368558 679161 794199 177931 972066 413467 111313 > 2791 [i]