Best Known (14, 45, s)-Nets in Base 256
(14, 45, 271)-Net over F256 — Constructive and digital
Digital (14, 45, 271)-net over F256, using
- net from sequence [i] based on digital (14, 270)-sequence over F256, using
(14, 45, 513)-Net over F256 — Digital
Digital (14, 45, 513)-net over F256, using
- t-expansion [i] based on digital (8, 45, 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
(14, 45, 292002)-Net in Base 256 — Upper bound on s
There is no (14, 45, 292003)-net in base 256, because
- 1 times m-reduction [i] would yield (14, 44, 292003)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 9174 243678 569628 700992 752029 110792 167725 647863 813607 149705 667823 321993 728278 890255 640386 530347 475854 970976 > 25644 [i]