Best Known (37−22, 37, s)-Nets in Base 256
(37−22, 37, 518)-Net over F256 — Constructive and digital
Digital (15, 37, 518)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (2, 13, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- digital (2, 24, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256 (see above)
- digital (2, 13, 259)-net over F256, using
(37−22, 37, 695)-Net over F256 — Digital
Digital (15, 37, 695)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25637, 695, F256, 22) (dual of [695, 658, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(25637, 771, F256, 22) (dual of [771, 734, 23]-code), using
(37−22, 37, 2426144)-Net in Base 256 — Upper bound on s
There is no (15, 37, 2426145)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 127315 266046 605794 863751 671955 189637 337365 617163 457764 521540 550881 654758 732784 543322 162976 > 25637 [i]