Best Known (7, 7+16, s)-Nets in Base 256
(7, 7+16, 264)-Net over F256 — Constructive and digital
Digital (7, 23, 264)-net over F256, using
- net from sequence [i] based on digital (7, 263)-sequence over F256, using
(7, 7+16, 322)-Net over F256 — Digital
Digital (7, 23, 322)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25623, 322, F256, 5, 16) (dual of [(322, 5), 1587, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(25618, 321, F256, 5, 16) (dual of [(321, 5), 1587, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,1588P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(25618, 321, F256, 5, 16) (dual of [(321, 5), 1587, 17]-NRT-code), using
(7, 7+16, 123830)-Net in Base 256 — Upper bound on s
There is no (7, 23, 123831)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 24 520822 822367 894207 991924 178621 463134 950760 803472 067566 > 25623 [i]