Information on Result #1021629
Linear OOA(562, 5596308, F5, 3, 6) (dual of [(5596308, 3), 16788862, 7]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(56, 3906, F5, 3, 2) (dual of [(3906, 3), 11712, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(56, 3906, F5, 2, 2) (dual of [(3906, 2), 7806, 3]-NRT-code), using
- appending kth column [i] based on linear OA(56, 3906, F5, 2) (dual of [3906, 3900, 3]-code), using
- Hamming code H(6,5) [i]
- appending kth column [i] based on linear OA(56, 3906, F5, 2) (dual of [3906, 3900, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(56, 3906, F5, 2, 2) (dual of [(3906, 2), 7806, 3]-NRT-code), using
- linear OOA(515, 2796201, F5, 3, 3) (dual of [(2796201, 3), 8388588, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(515, 3050325, F5, 3, 3) (dual of [(3050325, 3), 9150960, 4]-NRT-code), using
- linear OOA(541, 2796201, F5, 3, 6) (dual of [(2796201, 3), 8388562, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-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(562, 5596307, F5, 9, 6) (dual of [(5596307, 9), 50366701, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |