Best Known (43, 147, s)-Nets in Base 9
(43, 147, 81)-Net over F9 — Constructive and digital
Digital (43, 147, 81)-net over F9, using
- t-expansion [i] based on digital (32, 147, 81)-net over F9, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- F4 from the tower of function fields by Bezerra and GarcÃa over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
(43, 147, 147)-Net over F9 — Digital
Digital (43, 147, 147)-net over F9, using
- net from sequence [i] based on digital (43, 146)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 43 and N(F) ≥ 147, using
(43, 147, 1228)-Net in Base 9 — Upper bound on s
There is no (43, 147, 1229)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 193 646318 495544 514403 848214 702008 051483 048487 190790 821467 476336 606683 966132 862418 940700 369154 805207 351631 084006 007215 954618 272481 140938 009505 > 9147 [i]