Information on Result #713634
Linear OA(781, 378, F7, 27) (dual of [378, 297, 28]-code), using construction XX applied to C1 = C([337,17]), C2 = C([1,21]), C3 = C1 + C2 = C([1,17]), and C∩ = C1 ∩ C2 = C([337,21]) based on
- linear OA(761, 342, F7, 23) (dual of [342, 281, 24]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−5,−4,…,17}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(754, 342, F7, 21) (dual of [342, 288, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(770, 342, F7, 27) (dual of [342, 272, 28]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−5,−4,…,21}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(745, 342, F7, 17) (dual of [342, 297, 18]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(77, 23, F7, 5) (dual of [23, 16, 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(781, 126, F7, 3, 27) (dual of [(126, 3), 297, 28]-NRT-code) | [i] | OOA Folding | |