Best Known (52−38, 52, s)-Nets in Base 128
(52−38, 52, 288)-Net over F128 — Constructive and digital
Digital (14, 52, 288)-net over F128, using
- t-expansion [i] based on digital (9, 52, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
(52−38, 52, 353)-Net over F128 — Digital
Digital (14, 52, 353)-net over F128, using
- net from sequence [i] based on digital (14, 352)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 14 and N(F) ≥ 353, using
(52−38, 52, 36509)-Net in Base 128 — Upper bound on s
There is no (14, 52, 36510)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 37 589663 480850 212064 521258 333915 440111 971718 009225 799716 158098 096606 574864 634337 298349 253150 689453 207216 164886 > 12852 [i]