Best Known (36, 36+21, s)-Nets in Base 32
(36, 36+21, 297)-Net over F32 — Constructive and digital
Digital (36, 57, 297)-net over F32, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 2, 33)-net over F32, using
- digital (0, 2, 33)-net over F32 (see above)
- digital (0, 3, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 0 and N(F) ≥ 33, using
- the rational function field F32(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 32)-sequence over F32, using
- digital (0, 3, 33)-net over F32 (see above)
- digital (0, 4, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32 (see above)
- digital (0, 5, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32 (see above)
- digital (0, 7, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32 (see above)
- digital (0, 10, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32 (see above)
- digital (0, 21, 33)-net over F32, using
- net from sequence [i] based on digital (0, 32)-sequence over F32 (see above)
(36, 36+21, 518)-Net in Base 32 — Constructive
(36, 57, 518)-net in base 32, using
- 321 times duplication [i] based on (35, 56, 518)-net in base 32, using
- base change [i] based on digital (14, 35, 518)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (2, 12, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- digital (2, 23, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256 (see above)
- digital (2, 12, 259)-net over F256, using
- (u, u+v)-construction [i] based on
- base change [i] based on digital (14, 35, 518)-net over F256, using
(36, 36+21, 5229)-Net over F32 — Digital
Digital (36, 57, 5229)-net over F32, using
(36, 36+21, large)-Net in Base 32 — Upper bound on s
There is no (36, 57, large)-net in base 32, because
- 19 times m-reduction [i] would yield (36, 38, large)-net in base 32, but