Best Known (82−31, 82, s)-Nets in Base 32
(82−31, 82, 316)-Net over F32 — Constructive and digital
Digital (51, 82, 316)-net over F32, using
- 1 times m-reduction [i] based on digital (51, 83, 316)-net over F32, using
- generalized (u, u+v)-construction [i] based on
- digital (7, 17, 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, 23, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32 (see above)
- digital (11, 43, 120)-net over F32, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- digital (7, 17, 98)-net over F32, using
- generalized (u, u+v)-construction [i] based on
(82−31, 82, 545)-Net in Base 32 — Constructive
(51, 82, 545)-net in base 32, using
- 322 times duplication [i] based on (49, 80, 545)-net in base 32, using
- (u, u+v)-construction [i] based on
- (9, 24, 257)-net in base 32, using
- base change [i] based on digital (0, 15, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- base change [i] based on digital (0, 15, 257)-net over F256, using
- (25, 56, 288)-net in base 32, using
- base change [i] based on digital (9, 40, 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, 40, 288)-net over F128, using
- (9, 24, 257)-net in base 32, using
- (u, u+v)-construction [i] based on
(82−31, 82, 5067)-Net over F32 — Digital
Digital (51, 82, 5067)-net over F32, using
(82−31, 82, large)-Net in Base 32 — Upper bound on s
There is no (51, 82, large)-net in base 32, because
- 29 times m-reduction [i] would yield (51, 53, large)-net in base 32, but