Best Known (28, 28+5, s)-Nets in Base 9
(28, 28+5, 4194301)-Net over F9 — Constructive and digital
Digital (28, 33, 4194301)-net over F9, using
- net defined by OOA [i] based on linear OOA(933, 4194301, F9, 5, 5) (dual of [(4194301, 5), 20971472, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(933, large, F9, 5) (dual of [large, large−33, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 916−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(933, large, F9, 5) (dual of [large, large−33, 6]-code), using
(28, 28+5, large)-Net over F9 — Digital
Digital (28, 33, large)-net over F9, using
- 91 times duplication [i] based on digital (27, 32, large)-net over F9, using
(28, 28+5, large)-Net in Base 9 — Upper bound on s
There is no (28, 33, large)-net in base 9, because
- 3 times m-reduction [i] would yield (28, 30, large)-net in base 9, but