Best Known (77−56, 77, s)-Nets in Base 81
(77−56, 77, 370)-Net over F81 — Constructive and digital
Digital (21, 77, 370)-net over F81, using
- t-expansion [i] based on digital (16, 77, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
(77−56, 77, 25003)-Net in Base 81 — Upper bound on s
There is no (21, 77, 25004)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 898 209505 244884 693658 298651 583358 345708 944150 331874 924380 000919 414040 500064 118516 843895 294186 533918 482071 827675 035633 893061 271582 286447 391610 440961 > 8177 [i]