Best Known (111, 111+42, s)-Nets in Base 3
(111, 111+42, 264)-Net over F3 — Constructive and digital
Digital (111, 153, 264)-net over F3, using
- trace code for nets [i] based on digital (9, 51, 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
(111, 111+42, 480)-Net over F3 — Digital
Digital (111, 153, 480)-net over F3, using
(111, 111+42, 12970)-Net in Base 3 — Upper bound on s
There is no (111, 153, 12971)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 10 002803 905738 658884 657967 889561 772841 325873 828458 008740 646377 605623 339503 > 3153 [i]