Best Known (28, 28+76, s)-Nets in Base 32
(28, 28+76, 120)-Net over F32 — Constructive and digital
Digital (28, 104, 120)-net over F32, using
- t-expansion [i] based on digital (11, 104, 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+76, 177)-Net in Base 32 — Constructive
(28, 104, 177)-net in base 32, using
- t-expansion [i] based on (25, 104, 177)-net in base 32, using
- 4 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
- 4 times m-reduction [i] based on (25, 108, 177)-net in base 32, using
(28, 28+76, 257)-Net over F32 — Digital
Digital (28, 104, 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+76, 6359)-Net in Base 32 — Upper bound on s
There is no (28, 104, 6360)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 3 432942 755800 484524 171690 717489 109177 258807 503428 786015 260019 969700 205640 426823 512459 348209 584690 349882 221195 767932 244591 686867 131866 144423 912951 044230 904418 > 32104 [i]