Best Known (31−28, 31, s)-Nets in Base 128
(31−28, 31, 192)-Net over F128 — Constructive and digital
Digital (3, 31, 192)-net over F128, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
(31−28, 31, 2199)-Net in Base 128 — Upper bound on s
There is no (3, 31, 2200)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 211344 764720 396379 908982 087704 353479 853235 359494 013129 905746 318166 > 12831 [i]