Best Known (98−70, 98, s)-Nets in Base 32
(98−70, 98, 120)-Net over F32 — Constructive and digital
Digital (28, 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
(98−70, 98, 177)-Net in Base 32 — Constructive
(28, 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
(98−70, 98, 257)-Net over F32 — Digital
Digital (28, 98, 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
(98−70, 98, 7332)-Net in Base 32 — Upper bound on s
There is no (28, 98, 7333)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 3204 780809 943008 965107 103252 536556 747500 763045 288435 963430 868506 949116 495021 161748 478413 268554 830772 737486 082976 856137 169140 983433 656308 065817 850220 > 3298 [i]