Best Known (12, 12+26, s)-Nets in Base 256
(12, 12+26, 269)-Net over F256 — Constructive and digital
Digital (12, 38, 269)-net over F256, using
- net from sequence [i] based on digital (12, 268)-sequence over F256, using
(12, 12+26, 513)-Net over F256 — Digital
Digital (12, 38, 513)-net over F256, using
- t-expansion [i] based on digital (8, 38, 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
(12, 12+26, 243402)-Net in Base 256 — Upper bound on s
There is no (12, 38, 243403)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 32 592631 686165 944813 236375 805898 755580 376931 284259 646070 351786 297167 297999 100599 942357 668896 > 25638 [i]