Information on Result #713002
Linear OA(7105, 204, F7, 42) (dual of [204, 99, 43]-code), using construction XX applied to C1 = C([166,32]), C2 = C([1,36]), C3 = C1 + C2 = C([1,32]), and C∩ = C1 ∩ C2 = C([166,36]) based on
- 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 = {−5,−4,…,32}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(781, 171, F7, 36) (dual of [171, 90, 37]-code), using the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(794, 171, F7, 42) (dual of [171, 77, 43]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−5,−4,…,36}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(772, 171, F7, 32) (dual of [171, 99, 33]-code), using the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(77, 20, F7, 5) (dual of [20, 13, 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(74, 13, F7, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,7)), 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(7105, 68, F7, 3, 42) (dual of [(68, 3), 99, 43]-NRT-code) | [i] | OOA Folding | |