Best Known (147−74, 147, s)-Nets in Base 9
(147−74, 147, 165)-Net over F9 — Constructive and digital
Digital (73, 147, 165)-net over F9, using
- t-expansion [i] based on digital (64, 147, 165)-net over F9, using
- net from sequence [i] based on digital (64, 164)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 64 and N(F) ≥ 165, using
- T4 from the second tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 64 and N(F) ≥ 165, using
- net from sequence [i] based on digital (64, 164)-sequence over F9, using
(147−74, 147, 264)-Net over F9 — Digital
Digital (73, 147, 264)-net over F9, using
(147−74, 147, 11301)-Net in Base 9 — Upper bound on s
There is no (73, 147, 11302)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 188 128887 706802 999481 587296 857754 966595 907333 709873 567248 643400 218302 437234 035079 417114 120235 972391 005394 832737 761041 225378 695477 108529 216625 > 9147 [i]