Best Known (5, 50, s)-Nets in Base 256
(5, 50, 262)-Net over F256 — Constructive and digital
Digital (5, 50, 262)-net over F256, using
- net from sequence [i] based on digital (5, 261)-sequence over F256, using
(5, 50, 321)-Net over F256 — Digital
Digital (5, 50, 321)-net over F256, using
- t-expansion [i] based on digital (2, 50, 321)-net over F256, using
- net from sequence [i] based on digital (2, 320)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- net from sequence [i] based on digital (2, 320)-sequence over F256, using
(5, 50, 8195)-Net in Base 256 — Upper bound on s
There is no (5, 50, 8196)-net in base 256, because
- 1 times m-reduction [i] would yield (5, 49, 8196)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 10108 582564 632407 065271 526300 427138 380559 714096 229273 212915 480052 805736 597210 342691 747359 319620 622234 867355 109434 382336 > 25649 [i]