Best Known (15, 15+50, s)-Nets in Base 256
(15, 15+50, 272)-Net over F256 — Constructive and digital
Digital (15, 65, 272)-net over F256, using
- net from sequence [i] based on digital (15, 271)-sequence over F256, using
(15, 15+50, 513)-Net over F256 — Digital
Digital (15, 65, 513)-net over F256, using
- t-expansion [i] based on digital (8, 65, 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
(15, 15+50, 72851)-Net in Base 256 — Upper bound on s
There is no (15, 65, 72852)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 3 433196 083964 130931 281278 123308 726735 297321 579833 710135 529447 230237 795450 625686 777512 689221 678375 895082 798759 840166 209179 995945 134483 180908 616310 471246 463376 > 25665 [i]