Best Known (169, 244, s)-Nets in Base 2
(169, 244, 112)-Net over F2 — Constructive and digital
Digital (169, 244, 112)-net over F2, using
- t-expansion [i] based on digital (163, 244, 112)-net over F2, using
- 16 times m-reduction [i] based on digital (163, 260, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 130, 56)-net over F4, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 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) = 33 and N(F) ≥ 56, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- trace code for nets [i] based on digital (33, 130, 56)-net over F4, using
- 16 times m-reduction [i] based on digital (163, 260, 112)-net over F2, using
(169, 244, 199)-Net over F2 — Digital
Digital (169, 244, 199)-net over F2, using
(169, 244, 1335)-Net in Base 2 — Upper bound on s
There is no (169, 244, 1336)-net in base 2, because
- 1 times m-reduction [i] would yield (169, 243, 1336)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 14 226150 899477 506939 291889 744714 041388 030901 054388 640707 724608 017718 346985 > 2243 [i]