Best Known (25, 78, s)-Nets in Base 25
(25, 78, 200)-Net over F25 — Constructive and digital
Digital (25, 78, 200)-net over F25, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
(25, 78, 6055)-Net in Base 25 — Upper bound on s
There is no (25, 78, 6056)-net in base 25, because
- 1 times m-reduction [i] would yield (25, 77, 6056)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 438521 772802 804047 482277 661875 449722 933466 309136 474284 384335 359719 065992 984863 929561 893088 301545 467614 880385 > 2577 [i]