Best Known (73, 240, s)-Nets in Base 4
(73, 240, 104)-Net over F4 — Constructive and digital
Digital (73, 240, 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, 240, 112)-Net over F4 — Digital
Digital (73, 240, 112)-net over F4, using
- net from sequence [i] based on digital (73, 111)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 112, using
(73, 240, 506)-Net in Base 4 — Upper bound on s
There is no (73, 240, 507)-net in base 4, because
- 1 times m-reduction [i] would yield (73, 239, 507)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 819599 553244 307849 317338 892758 055192 453410 987415 269047 815939 165889 671027 174317 839048 326080 218142 226848 162793 837952 041587 660024 431033 621532 212884 > 4239 [i]