Best Known (28, 102, s)-Nets in Base 32
(28, 102, 120)-Net over F32 — Constructive and digital
Digital (28, 102, 120)-net over F32, using
- t-expansion [i] based on digital (11, 102, 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, 102, 177)-Net in Base 32 — Constructive
(28, 102, 177)-net in base 32, using
- t-expansion [i] based on (25, 102, 177)-net in base 32, using
- 6 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
- 6 times m-reduction [i] based on (25, 108, 177)-net in base 32, using
(28, 102, 257)-Net over F32 — Digital
Digital (28, 102, 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, 102, 6647)-Net in Base 32 — Upper bound on s
There is no (28, 102, 6648)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 3369 073746 641608 077885 739903 008215 002524 463587 301641 477695 332041 715432 741457 355821 259699 868990 617413 903471 735314 475578 362959 455530 059284 283661 243726 055771 > 32102 [i]