Best Known (260−88, 260, s)-Nets in Base 2
(260−88, 260, 112)-Net over F2 — Constructive and digital
Digital (172, 260, 112)-net over F2, using
- t-expansion [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
(260−88, 260, 169)-Net over F2 — Digital
Digital (172, 260, 169)-net over F2, using
(260−88, 260, 973)-Net in Base 2 — Upper bound on s
There is no (172, 260, 974)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1 914155 720863 864191 729715 249180 276177 399784 648122 467014 538270 569933 522706 673130 > 2260 [i]