Best Known (93, 107, s)-Nets in Base 9
(93, 107, 2396742)-Net over F9 — Constructive and digital
Digital (93, 107, 2396742)-net over F9, using
- 91 times duplication [i] based on digital (92, 106, 2396742)-net over F9, using
- trace code for nets [i] based on digital (39, 53, 1198371)-net over F81, using
- net defined by OOA [i] based on linear OOA(8153, 1198371, F81, 14, 14) (dual of [(1198371, 14), 16777141, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(8153, 8388597, F81, 14) (dual of [8388597, 8388544, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(8153, 8388597, F81, 14) (dual of [8388597, 8388544, 15]-code), using
- net defined by OOA [i] based on linear OOA(8153, 1198371, F81, 14, 14) (dual of [(1198371, 14), 16777141, 15]-NRT-code), using
- trace code for nets [i] based on digital (39, 53, 1198371)-net over F81, using
(93, 107, large)-Net over F9 — Digital
Digital (93, 107, large)-net over F9, using
- 93 times duplication [i] based on digital (90, 104, large)-net over F9, using
- t-expansion [i] based on digital (89, 104, large)-net over F9, using
(93, 107, large)-Net in Base 9 — Upper bound on s
There is no (93, 107, large)-net in base 9, because
- 12 times m-reduction [i] would yield (93, 95, large)-net in base 9, but