Best Known (38, 86, s)-Nets in Base 32
(38, 86, 196)-Net over F32 — Constructive and digital
Digital (38, 86, 196)-net over F32, using
- (u, u+v)-construction [i] based on
- digital (7, 31, 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 (7, 55, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32 (see above)
- digital (7, 31, 98)-net over F32, using
(38, 86, 288)-Net in Base 32 — Constructive
(38, 86, 288)-net in base 32, using
- t-expansion [i] based on (37, 86, 288)-net in base 32, using
- 12 times m-reduction [i] based on (37, 98, 288)-net in base 32, using
- base change [i] based on digital (9, 70, 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, 70, 288)-net over F128, using
- 12 times m-reduction [i] based on (37, 98, 288)-net in base 32, using
(38, 86, 333)-Net over F32 — Digital
Digital (38, 86, 333)-net over F32, using
(38, 86, 342)-Net in Base 32
(38, 86, 342)-net in base 32, using
- 22 times m-reduction [i] based on (38, 108, 342)-net in base 32, using
- base change [i] based on digital (20, 90, 342)-net over F64, using
- net from sequence [i] based on digital (20, 341)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 20 and N(F) ≥ 342, using
- net from sequence [i] based on digital (20, 341)-sequence over F64, using
- base change [i] based on digital (20, 90, 342)-net over F64, using
(38, 86, 78232)-Net in Base 32 — Upper bound on s
There is no (38, 86, 78233)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2773 126801 059178 165393 451842 660424 104336 002227 161225 074438 620462 530071 250103 935458 706487 855899 456867 991859 287568 131623 627480 420537 > 3286 [i]