Information on Result #713101
Linear OA(7108, 194, F7, 46) (dual of [194, 86, 47]-code), using construction XX applied to C1 = C([15,58]), C2 = C([21,60]), C3 = C1 + C2 = C([21,58]), and C∩ = C1 ∩ C2 = C([15,60]) based on
- linear OA(797, 171, F7, 44) (dual of [171, 74, 45]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {15,16,…,58}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(788, 171, F7, 40) (dual of [171, 83, 41]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {21,22,…,60}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(7100, 171, F7, 46) (dual of [171, 71, 47]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {15,16,…,60}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(785, 171, F7, 38) (dual of [171, 86, 39]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {21,22,…,58}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(77, 19, F7, 5) (dual of [19, 12, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OA(71, 4, F7, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(7108, 97, F7, 2, 46) (dual of [(97, 2), 86, 47]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(7108, 64, F7, 3, 46) (dual of [(64, 3), 84, 47]-NRT-code) | [i] | ||