Best Known (15, 38, s)-Nets in Base 32
(15, 38, 120)-Net over F32 — Constructive and digital
Digital (15, 38, 120)-net over F32, using
- t-expansion [i] based on digital (11, 38, 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
(15, 38, 158)-Net over F32 — Digital
Digital (15, 38, 158)-net over F32, using
- net from sequence [i] based on digital (15, 157)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 15 and N(F) ≥ 158, using
(15, 38, 257)-Net in Base 32 — Constructive
(15, 38, 257)-net in base 32, using
- 2 times m-reduction [i] based on (15, 40, 257)-net in base 32, using
- base change [i] based on digital (0, 25, 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, 25, 257)-net over F256, using
(15, 38, 18293)-Net in Base 32 — Upper bound on s
There is no (15, 38, 18294)-net in base 32, because
- 1 times m-reduction [i] would yield (15, 37, 18294)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 49 047444 061210 083265 135273 277604 732004 983070 267999 841580 > 3237 [i]