Best Known (92−36, 92, s)-Nets in Base 27
(92−36, 92, 264)-Net over F27 — Constructive and digital
Digital (56, 92, 264)-net over F27, using
- 1 times m-reduction [i] based on digital (56, 93, 264)-net over F27, using
- generalized (u, u+v)-construction [i] based on
- digital (7, 19, 82)-net over F27, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- digital (9, 27, 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, 47, 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 (7, 19, 82)-net over F27, using
- generalized (u, u+v)-construction [i] based on
(92−36, 92, 434)-Net in Base 27 — Constructive
(56, 92, 434)-net in base 27, using
- (u, u+v)-construction [i] based on
- digital (4, 22, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- (34, 70, 370)-net in base 27, using
- 2 times m-reduction [i] based on (34, 72, 370)-net in base 27, using
- base change [i] based on digital (16, 54, 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, 54, 370)-net over F81, using
- 2 times m-reduction [i] based on (34, 72, 370)-net in base 27, using
- digital (4, 22, 64)-net over F27, using
(92−36, 92, 3113)-Net over F27 — Digital
Digital (56, 92, 3113)-net over F27, using
(92−36, 92, 6011948)-Net in Base 27 — Upper bound on s
There is no (56, 92, 6011949)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 484692 584866 016448 780879 732160 471527 928847 511656 720116 037355 916965 916508 693283 997017 021812 208377 983526 067400 007915 819897 195908 169713 > 2792 [i]