Best Known (28, 33, s)-Nets in Base 8
(28, 33, 4194301)-Net over F8 — Constructive and digital
Digital (28, 33, 4194301)-net over F8, using
- net defined by OOA [i] based on linear OOA(833, 4194301, F8, 5, 5) (dual of [(4194301, 5), 20971472, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(833, large, F8, 5) (dual of [large, large−33, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, 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(833, large, F8, 5) (dual of [large, large−33, 6]-code), using
(28, 33, large)-Net over F8 — Digital
Digital (28, 33, large)-net over F8, using
(28, 33, large)-Net in Base 8 — Upper bound on s
There is no (28, 33, large)-net in base 8, because
- 3 times m-reduction [i] would yield (28, 30, large)-net in base 8, but