Best Known (171, 244, s)-Nets in Base 2
(171, 244, 132)-Net over F2 — Constructive and digital
Digital (171, 244, 132)-net over F2, using
- trace code for nets [i] based on digital (49, 122, 66)-net over F4, using
- net from sequence [i] based on digital (49, 65)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 49 and N(F) ≥ 66, using
- T6 from the second 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) = 49 and N(F) ≥ 66, using
- net from sequence [i] based on digital (49, 65)-sequence over F4, using
(171, 244, 213)-Net over F2 — Digital
Digital (171, 244, 213)-net over F2, using
(171, 244, 1484)-Net in Base 2 — Upper bound on s
There is no (171, 244, 1485)-net in base 2, because
- 1 times m-reduction [i] would yield (171, 243, 1485)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 14 337274 715440 210743 218201 273331 535329 841086 022654 146861 352600 763487 905918 > 2243 [i]