Information on Result #712808
Linear OA(793, 201, F7, 37) (dual of [201, 108, 38]-code), using construction XX applied to C1 = C([164,28]), C2 = C([1,29]), C3 = C1 + C2 = C([1,28]), and C∩ = C1 ∩ C2 = C([164,29]) based on
- linear OA(779, 171, F7, 36) (dual of [171, 92, 37]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−7,−6,…,28}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(766, 171, F7, 29) (dual of [171, 105, 30]-code), using the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(782, 171, F7, 37) (dual of [171, 89, 38]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−7,−6,…,29}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(763, 171, F7, 28) (dual of [171, 108, 29]-code), using the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(711, 27, F7, 7) (dual of [27, 16, 8]-code), using
- 5 times truncation [i] based on linear OA(716, 32, F7, 12) (dual of [32, 16, 13]-code), using
- extended quadratic residue code Qe(32,7) [i]
- 5 times truncation [i] based on linear OA(716, 32, F7, 12) (dual of [32, 16, 13]-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(793, 67, F7, 3, 37) (dual of [(67, 3), 108, 38]-NRT-code) | [i] | OOA Folding | |