Best Known (97, 97+42, s)-Nets in Base 3
(97, 97+42, 192)-Net over F3 — Constructive and digital
Digital (97, 139, 192)-net over F3, using
- 31 times duplication [i] based on digital (96, 138, 192)-net over F3, using
- trace code for nets [i] based on digital (4, 46, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- trace code for nets [i] based on digital (4, 46, 64)-net over F27, using
(97, 97+42, 319)-Net over F3 — Digital
Digital (97, 139, 319)-net over F3, using
(97, 97+42, 6224)-Net in Base 3 — Upper bound on s
There is no (97, 139, 6225)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2 090048 797392 242172 949805 228574 612566 195140 453221 758122 266813 699411 > 3139 [i]