Best Known (5, 56, s)-Nets in Base 128
(5, 56, 216)-Net over F128 — Constructive and digital
Digital (5, 56, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
(5, 56, 227)-Net over F128 — Digital
Digital (5, 56, 227)-net over F128, using
- net from sequence [i] based on digital (5, 226)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 227, using
(5, 56, 3452)-Net in Base 128 — Upper bound on s
There is no (5, 56, 3453)-net in base 128, because
- 1 times m-reduction [i] would yield (5, 55, 3453)-net in base 128, but
- the generalized Rao bound for nets shows that 128m ≥ 78 998612 260694 068511 539720 601268 857064 687569 719302 481373 112857 756275 482487 200822 692157 266368 933552 055965 793257 290284 > 12855 [i]