Best Known (79, 193, s)-Nets in Base 3
(79, 193, 54)-Net over F3 — Constructive and digital
Digital (79, 193, 54)-net over F3, using
- net from sequence [i] based on digital (79, 53)-sequence over F3, using
- base reduction for sequences [i] based on digital (13, 53)-sequence over F9, using
- s-reduction based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
- s-reduction based on digital (13, 63)-sequence over F9, using
- base reduction for sequences [i] based on digital (13, 53)-sequence over F9, using
(79, 193, 84)-Net over F3 — Digital
Digital (79, 193, 84)-net over F3, using
- t-expansion [i] based on digital (71, 193, 84)-net over F3, using
- net from sequence [i] based on digital (71, 83)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 71 and N(F) ≥ 84, using
- net from sequence [i] based on digital (71, 83)-sequence over F3, using
(79, 193, 401)-Net in Base 3 — Upper bound on s
There is no (79, 193, 402)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 125 664672 639605 454788 708141 416572 872118 124801 519132 238806 399204 671841 515705 347723 912676 939893 > 3193 [i]