Best Known (24, 60, s)-Nets in Base 256
(24, 60, 520)-Net over F256 — Constructive and digital
Digital (24, 60, 520)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (3, 21, 260)-net over F256, using
- net from sequence [i] based on digital (3, 259)-sequence over F256, using
- digital (3, 39, 260)-net over F256, using
- net from sequence [i] based on digital (3, 259)-sequence over F256 (see above)
- digital (3, 21, 260)-net over F256, using
(24, 60, 1025)-Net over F256 — Digital
Digital (24, 60, 1025)-net over F256, using
- net from sequence [i] based on digital (24, 1024)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 24 and N(F) ≥ 1025, using
- K1,2 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 24 and N(F) ≥ 1025, using
(24, 60, 3155406)-Net in Base 256 — Upper bound on s
There is no (24, 60, 3155407)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 3 121766 271976 714425 918782 891682 385276 987309 446746 518113 253999 023744 076820 197671 804668 752529 442475 801678 055758 583697 832871 849758 956664 031982 806356 > 25660 [i]