Best Known (41, 91, s)-Nets in Base 32
(41, 91, 202)-Net over F32 — Constructive and digital
Digital (41, 91, 202)-net over F32, using
- (u, u+v)-construction [i] based on
- digital (7, 32, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
- digital (9, 59, 104)-net over F32, using
- net from sequence [i] based on digital (9, 103)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104, using
- net from sequence [i] based on digital (9, 103)-sequence over F32, using
- digital (7, 32, 98)-net over F32, using
(41, 91, 288)-Net in Base 32 — Constructive
(41, 91, 288)-net in base 32, using
- t-expansion [i] based on (40, 91, 288)-net in base 32, using
- 17 times m-reduction [i] based on (40, 108, 288)-net in base 32, using
- base change [i] based on (22, 90, 288)-net in base 64, using
- 1 times m-reduction [i] based on (22, 91, 288)-net in base 64, using
- base change [i] based on digital (9, 78, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- base change [i] based on digital (9, 78, 288)-net over F128, using
- 1 times m-reduction [i] based on (22, 91, 288)-net in base 64, using
- base change [i] based on (22, 90, 288)-net in base 64, using
- 17 times m-reduction [i] based on (40, 108, 288)-net in base 32, using
(41, 91, 382)-Net over F32 — Digital
Digital (41, 91, 382)-net over F32, using
(41, 91, 408)-Net in Base 32
(41, 91, 408)-net in base 32, using
- 5 times m-reduction [i] based on (41, 96, 408)-net in base 32, using
- base change [i] based on digital (25, 80, 408)-net over F64, using
- net from sequence [i] based on digital (25, 407)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 25 and N(F) ≥ 408, using
- net from sequence [i] based on digital (25, 407)-sequence over F64, using
- base change [i] based on digital (25, 80, 408)-net over F64, using
(41, 91, 98844)-Net in Base 32 — Upper bound on s
There is no (41, 91, 98845)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 93040 250207 994805 472094 319408 894662 059052 642614 096528 463831 101854 357359 321165 631510 782869 552144 134866 566867 103819 941847 242230 822354 915220 > 3291 [i]