Best Known (103, 103+38, s)-Nets in Base 3
(103, 103+38, 264)-Net over F3 — Constructive and digital
Digital (103, 141, 264)-net over F3, using
- trace code for nets [i] based on digital (9, 47, 88)-net over F27, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
(103, 103+38, 482)-Net over F3 — Digital
Digital (103, 141, 482)-net over F3, using
(103, 103+38, 13751)-Net in Base 3 — Upper bound on s
There is no (103, 141, 13752)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 18 815404 055127 452820 451066 110679 385720 290732 802501 462712 279772 286049 > 3141 [i]