Best Known (14, 83, s)-Nets in Base 64
(14, 83, 177)-Net over F64 — Constructive and digital
Digital (14, 83, 177)-net over F64, using
- t-expansion [i] based on digital (7, 83, 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
(14, 83, 257)-Net over F64 — Digital
Digital (14, 83, 257)-net over F64, using
- t-expansion [i] based on digital (12, 83, 257)-net over F64, using
- net from sequence [i] based on digital (12, 256)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 12 and N(F) ≥ 257, using
- net from sequence [i] based on digital (12, 256)-sequence over F64, using
(14, 83, 4860)-Net in Base 64 — Upper bound on s
There is no (14, 83, 4861)-net in base 64, because
- 1 times m-reduction [i] would yield (14, 82, 4861)-net in base 64, but
- the generalized Rao bound for nets shows that 64m ≥ 12815 035010 678165 931629 679013 546494 953623 575445 594969 544643 906774 721380 514340 279101 625854 799564 771576 045236 076926 809814 983546 390061 700933 771926 450570 > 6482 [i]