Information on Result #720507
Linear OA(9137, 784, F9, 44) (dual of [784, 647, 45]-code), using construction XX applied to C1 = C([721,30]), C2 = C([1,36]), C3 = C1 + C2 = C([1,30]), and C∩ = C1 ∩ C2 = C([721,36]) based on
- linear OA(9103, 728, F9, 38) (dual of [728, 625, 39]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−7,−6,…,30}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(996, 728, F9, 36) (dual of [728, 632, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(9118, 728, F9, 44) (dual of [728, 610, 45]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−7,−6,…,36}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(981, 728, F9, 30) (dual of [728, 647, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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.