Best Known (105−87, 105, s)-Nets in Base 7
(105−87, 105, 26)-Net over F7 — Constructive and digital
Digital (18, 105, 26)-net over F7, using
- net from sequence [i] based on digital (18, 25)-sequence over F7, using
(105−87, 105, 51)-Net over F7 — Digital
Digital (18, 105, 51)-net over F7, using
- net from sequence [i] based on digital (18, 50)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 18 and N(F) ≥ 51, using
(105−87, 105, 146)-Net in Base 7 — Upper bound on s
There is no (18, 105, 147)-net in base 7, because
- extracting embedded orthogonal array [i] would yield OA(7105, 147, S7, 87), but
- the linear programming bound shows that M ≥ 147 690405 180025 380122 216385 426592 249360 886576 681831 958995 619799 627596 195289 898545 868370 266432 169545 520270 550456 903791 210379 148307 790155 881587 / 2700 862948 334492 176361 502067 494535 228489 238723 805184 > 7105 [i]