Best Known (28, 28+82, s)-Nets in Base 32
(28, 28+82, 120)-Net over F32 — Constructive and digital
Digital (28, 110, 120)-net over F32, using
- t-expansion [i] based on digital (11, 110, 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, 28+82, 177)-Net in Base 32 — Constructive
(28, 110, 177)-net in base 32, using
- 322 times duplication [i] based on (26, 108, 177)-net in base 32, using
- t-expansion [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
- t-expansion [i] based on (25, 108, 177)-net in base 32, using
(28, 28+82, 257)-Net over F32 — Digital
Digital (28, 110, 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, 28+82, 5664)-Net in Base 32 — Upper bound on s
There is no (28, 110, 5665)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 3710 549220 017488 193228 014417 283560 326317 206667 218106 505340 092103 276398 299939 532491 899760 406387 379990 463986 196594 844490 748261 223116 809072 757104 371488 587943 460479 199744 > 32110 [i]