Information on Result #712780
Linear OA(778, 191, F7, 31) (dual of [191, 113, 32]-code), using construction XX applied to C1 = C([28,57]), C2 = C([35,58]), C3 = C1 + C2 = C([35,57]), and C∩ = C1 ∩ C2 = C([28,58]) based on
- linear OA(767, 171, F7, 30) (dual of [171, 104, 31]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {28,29,…,57}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(761, 171, F7, 24) (dual of [171, 110, 25]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {35,36,…,58}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(770, 171, F7, 31) (dual of [171, 101, 32]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {28,29,…,58}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(758, 171, F7, 23) (dual of [171, 113, 24]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {35,36,…,57}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(78, 17, F7, 6) (dual of [17, 9, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(78, 19, F7, 6) (dual of [19, 11, 7]-code), using
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(778, 95, F7, 2, 31) (dual of [(95, 2), 112, 32]-NRT-code) | [i] | OOA Folding | |