Best Known (11, 63, s)-Nets in Base 7
(11, 63, 19)-Net over F7 — Constructive and digital
Digital (11, 63, 19)-net over F7, using
- net from sequence [i] based on digital (11, 18)-sequence over F7, using
(11, 63, 38)-Net over F7 — Digital
Digital (11, 63, 38)-net over F7, using
- t-expansion [i] based on digital (9, 63, 38)-net over F7, using
- net from sequence [i] based on digital (9, 37)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 9 and N(F) ≥ 38, using
- net from sequence [i] based on digital (9, 37)-sequence over F7, using
(11, 63, 133)-Net in Base 7 — Upper bound on s
There is no (11, 63, 134)-net in base 7, because
- extracting embedded orthogonal array [i] would yield OA(763, 134, S7, 52), but
- the linear programming bound shows that M ≥ 1 745133 582277 218501 169643 621137 579413 521909 169309 358393 363069 080133 510540 398314 878313 433871 960485 111944 449758 774963 832924 674658 789650 533780 721516 023403 900541 894161 389648 251807 778837 / 9 945595 753933 088155 069424 377056 950730 698878 370321 642273 337065 096829 178052 106425 477056 607149 058609 045722 451796 964291 348237 970093 > 763 [i]