Information on Result #719957
Linear OA(9113, 784, F9, 35) (dual of [784, 671, 36]-code), using construction XX applied to C1 = C([721,21]), C2 = C([1,27]), C3 = C1 + C2 = C([1,21]), and C∩ = C1 ∩ C2 = C([721,27]) based on
- linear OA(979, 728, F9, 29) (dual of [728, 649, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−7,−6,…,21}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(972, 728, F9, 27) (dual of [728, 656, 28]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(994, 728, F9, 35) (dual of [728, 634, 36]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−7,−6,…,27}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(957, 728, F9, 21) (dual of [728, 671, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(912, 34, F9, 7) (dual of [34, 22, 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, 22, F9, 5) (dual of [22, 15, 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
None.