Best Known (35, 35+49, s)-Nets in Base 25
(35, 35+49, 208)-Net over F25 — Constructive and digital
Digital (35, 84, 208)-net over F25, using
- net from sequence [i] based on digital (35, 207)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 35 and N(F) ≥ 208, using
(35, 35+49, 209)-Net over F25 — Digital
Digital (35, 84, 209)-net over F25, using
(35, 35+49, 27893)-Net in Base 25 — Upper bound on s
There is no (35, 84, 27894)-net in base 25, because
- 1 times m-reduction [i] would yield (35, 83, 27894)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 106 977528 197577 935604 170595 350506 511707 458088 146940 238402 841716 576146 985425 700774 781923 776637 646502 464580 808944 554625 > 2583 [i]