Best Known (84−73, 84, s)-Nets in Base 9
(84−73, 84, 40)-Net over F9 — Constructive and digital
Digital (11, 84, 40)-net over F9, using
- t-expansion [i] based on digital (8, 84, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
(84−73, 84, 55)-Net over F9 — Digital
Digital (11, 84, 55)-net over F9, using
- net from sequence [i] based on digital (11, 54)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 11 and N(F) ≥ 55, using
(84−73, 84, 145)-Net in Base 9 — Upper bound on s
There is no (11, 84, 146)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(984, 146, S9, 73), but
- the linear programming bound shows that M ≥ 3 462572 418989 303147 258496 457498 310590 003047 457104 037550 650264 197492 185563 295305 588049 243518 266443 945426 448640 545295 653790 212266 910877 294465 563445 201097 263551 859743 345023 023257 / 22925 737181 509453 496253 672378 997529 719032 908991 109898 751071 769248 354328 237347 866233 566897 347124 > 984 [i]