Best Known (2, 42, s)-Nets in Base 256
(2, 42, 259)-Net over F256 — Constructive and digital
Digital (2, 42, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
(2, 42, 321)-Net over F256 — Digital
Digital (2, 42, 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
(2, 42, 3412)-Net in Base 256 — Upper bound on s
There is no (2, 42, 3413)-net in base 256, because
- 14 times m-reduction [i] would yield (2, 28, 3413)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 27 009154 831357 567488 514382 603415 649444 435571 933622 889000 358562 845296 > 25628 [i]