Best Known (78−60, 78, s)-Nets in Base 7
(78−60, 78, 26)-Net over F7 — Constructive and digital
Digital (18, 78, 26)-net over F7, using
- net from sequence [i] based on digital (18, 25)-sequence over F7, using
(78−60, 78, 51)-Net over F7 — Digital
Digital (18, 78, 51)-net over F7, using
- net from sequence [i] based on digital (18, 50)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 18 and N(F) ≥ 51, using
(78−60, 78, 297)-Net in Base 7 — Upper bound on s
There is no (18, 78, 298)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 907393 194358 671252 519087 746042 786248 005554 046340 856527 571155 826413 > 778 [i]