Best Known (5, 48, s)-Nets in Base 128
(5, 48, 216)-Net over F128 — Constructive and digital
Digital (5, 48, 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, 48, 227)-Net over F128 — Digital
Digital (5, 48, 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, 48, 3544)-Net in Base 128 — Upper bound on s
There is no (5, 48, 3545)-net in base 128, because
- 1 times m-reduction [i] would yield (5, 47, 3545)-net in base 128, but
- the generalized Rao bound for nets shows that 128m ≥ 1095 407485 344608 423317 820223 418987 390801 398780 614657 873261 002309 485705 964772 452724 120718 013835 351608 > 12847 [i]