Best Known (57−56, 57, s)-Nets in Base 256
(57−56, 57, 258)-Net over F256 — Constructive and digital
Digital (1, 57, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
(57−56, 57, 289)-Net over F256 — Digital
Digital (1, 57, 289)-net over F256, using
- net from sequence [i] based on digital (1, 288)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 1 and N(F) ≥ 289, using
(57−56, 57, 1915)-Net in Base 256 — Upper bound on s
There is no (1, 57, 1916)-net in base 256, because
- 42 times m-reduction [i] would yield (1, 15, 1916)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 1 333267 576803 339800 949754 838517 444586 > 25615 [i]