Best Known (78−69, 78, s)-Nets in Base 128
(78−69, 78, 288)-Net over F128 — Constructive and digital
Digital (9, 78, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
(78−69, 78, 6291)-Net in Base 128 — Upper bound on s
There is no (9, 78, 6292)-net in base 128, because
- 1 times m-reduction [i] would yield (9, 77, 6292)-net in base 128, but
- the generalized Rao bound for nets shows that 128m ≥ 1 808242 510402 412707 813386 435373 443244 380937 233258 118051 372974 159706 799443 583092 144938 463534 293144 157785 653620 719039 736077 323198 930737 874164 377257 400161 207508 209660 > 12877 [i]