Information on Result #1197288
Digital (29, 35, 4194300)-net over F27, using net defined by OOA based on linear OOA(2735, 4194300, F27, 10, 6) (dual of [(4194300, 10), 41942965, 7]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2735, 8388601, F27, 2, 6) (dual of [(8388601, 2), 16777167, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2735, 8388602, F27, 2, 6) (dual of [(8388602, 2), 16777169, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(279, large, F27, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(279, large, F27, 3) (dual of [large, large−9, 4]-code), using
- linear OOA(2726, 4194301, F27, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2726, 8388602, F27, 6) (dual of [8388602, 8388576, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- OOA 2-folding [i] based on linear OA(2726, 8388602, F27, 6) (dual of [8388602, 8388576, 7]-code), using
- linear OOA(279, large, F27, 2, 3), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2735, 8388602, F27, 2, 6) (dual of [(8388602, 2), 16777169, 7]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.