Information on Result #1021176
Linear OOA(391, 5621926, F3, 3, 7) (dual of [(5621926, 3), 16865687, 8]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(310, 29524, F3, 3, 2) (dual of [(29524, 3), 88562, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(310, 29524, F3, 2, 2) (dual of [(29524, 2), 59038, 3]-NRT-code), using
- appending kth column [i] based on linear OA(310, 29524, F3, 2) (dual of [29524, 29514, 3]-code), using
- Hamming code H(10,3) [i]
- appending kth column [i] based on linear OA(310, 29524, F3, 2) (dual of [29524, 29514, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(310, 29524, F3, 2, 2) (dual of [(29524, 2), 59038, 3]-NRT-code), using
- linear OOA(320, 2796201, F3, 3, 3) (dual of [(2796201, 3), 8388583, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(320, 3713023, F3, 3, 3) (dual of [(3713023, 3), 11139049, 4]-NRT-code), using
- linear OOA(361, 2796201, F3, 3, 7) (dual of [(2796201, 3), 8388542, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(391, 5621925, F3, 4, 7) (dual of [(5621925, 4), 22487609, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(391, 5621925, F3, 5, 7) (dual of [(5621925, 5), 28109534, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(391, 5621925, F3, 9, 7) (dual of [(5621925, 9), 50597234, 8]-NRT-code) | [i] | ||