Best Known (73, 144, s)-Nets in Base 4
(73, 144, 104)-Net over F4 — Constructive and digital
Digital (73, 144, 104)-net over F4, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
(73, 144, 113)-Net over F4 — Digital
Digital (73, 144, 113)-net over F4, using
(73, 144, 1308)-Net in Base 4 — Upper bound on s
There is no (73, 144, 1309)-net in base 4, because
- 1 times m-reduction [i] would yield (73, 143, 1309)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 127 214839 393762 534221 742569 091111 454399 372700 391469 991859 740068 706817 518359 221227 457120 > 4143 [i]