Best Known (28, 96, s)-Nets in Base 32
(28, 96, 120)-Net over F32 — Constructive and digital
Digital (28, 96, 120)-net over F32, using
- t-expansion [i] based on digital (11, 96, 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
(28, 96, 177)-Net in Base 32 — Constructive
(28, 96, 177)-net in base 32, using
- t-expansion [i] based on (25, 96, 177)-net in base 32, using
- 12 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
- 12 times m-reduction [i] based on (25, 108, 177)-net in base 32, using
(28, 96, 257)-Net over F32 — Digital
Digital (28, 96, 257)-net over F32, using
- net from sequence [i] based on digital (28, 256)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 28 and N(F) ≥ 257, using
(28, 96, 7743)-Net in Base 32 — Upper bound on s
There is no (28, 96, 7744)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 3 122146 150941 428590 100511 437304 853799 230441 691604 064747 415706 565627 929331 873490 621481 451227 444045 237958 864812 855467 355313 819210 279941 348394 702515 > 3296 [i]