Best Known (16, 16+38, s)-Nets in Base 256
(16, 16+38, 273)-Net over F256 — Constructive and digital
Digital (16, 54, 273)-net over F256, using
- net from sequence [i] based on digital (16, 272)-sequence over F256, using
(16, 16+38, 513)-Net over F256 — Digital
Digital (16, 54, 513)-net over F256, using
- t-expansion [i] based on digital (8, 54, 513)-net over F256, using
- net from sequence [i] based on digital (8, 512)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- K1,1 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) = 8 and N(F) ≥ 513, using
- net from sequence [i] based on digital (8, 512)-sequence over F256, using
(16, 16+38, 217334)-Net in Base 256 — Upper bound on s
There is no (16, 54, 217335)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 11091 163019 516510 701494 090170 280381 399637 390099 803881 031705 021130 320015 197794 971495 532024 246962 583520 000981 478846 743791 623741 045076 > 25654 [i]