Information on Result #720451
Linear OA(9139, 788, F9, 44) (dual of [788, 649, 45]-code), using construction XX applied to C1 = C([719,28]), C2 = C([0,34]), C3 = C1 + C2 = C([0,28]), and C∩ = C1 ∩ C2 = C([719,34]) based on
- linear OA(9100, 728, F9, 38) (dual of [728, 628, 39]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,28}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(994, 728, F9, 35) (dual of [728, 634, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [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 = {−9,−8,…,34}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(976, 728, F9, 29) (dual of [728, 652, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(914, 35, F9, 8) (dual of [35, 21, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(914, 40, F9, 8) (dual of [40, 26, 9]-code), using
- the cyclic code C(A) with length 40 | 92−1, defining set A = {0,1,2,3,4,5,6,31}, and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(914, 40, F9, 8) (dual of [40, 26, 9]-code), using
- linear OA(97, 25, F9, 5) (dual of [25, 18, 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.