Information on Result #719890
Linear OA(9107, 784, F9, 33) (dual of [784, 677, 34]-code), using construction XX applied to C1 = C([64,90]), C2 = C([72,96]), C3 = C1 + C2 = C([72,90]), and C∩ = C1 ∩ C2 = C([64,96]) based on
- linear OA(972, 728, F9, 27) (dual of [728, 656, 28]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,90}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,96}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,96}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(951, 728, F9, 19) (dual of [728, 677, 20]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,90}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(912, 33, F9, 7) (dual of [33, 21, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 40, F9, 7) (dual of [40, 28, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(912, 40, F9, 7) (dual of [40, 28, 8]-code), using
- linear OA(97, 23, F9, 5) (dual of [23, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-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(9107, 392, F9, 2, 33) (dual of [(392, 2), 677, 34]-NRT-code) | [i] | OOA Folding |