Best Known (30, 30+68, s)-Nets in Base 32
(30, 30+68, 120)-Net over F32 — Constructive and digital
Digital (30, 98, 120)-net over F32, using
- t-expansion [i] based on digital (11, 98, 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
(30, 30+68, 177)-Net in Base 32 — Constructive
(30, 98, 177)-net in base 32, using
- t-expansion [i] based on (25, 98, 177)-net in base 32, using
- 10 times m-reduction [i] based on (25, 108, 177)-net in base 32, using
- base change [i] based on digital (7, 90, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- base change [i] based on digital (7, 90, 177)-net over F64, using
- 10 times m-reduction [i] based on (25, 108, 177)-net in base 32, using
(30, 30+68, 273)-Net over F32 — Digital
Digital (30, 98, 273)-net over F32, using
- net from sequence [i] based on digital (30, 272)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 30 and N(F) ≥ 273, using
(30, 30+68, 9499)-Net in Base 32 — Upper bound on s
There is no (30, 98, 9500)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 3206 641044 216995 223770 079036 812840 679087 780301 611692 077688 045011 172119 067237 485863 715793 529960 294105 480238 342005 300256 596070 249622 214551 663487 522456 > 3298 [i]