Information on Result #715898
Linear OA(8127, 571, F8, 40) (dual of [571, 444, 41]-code), using construction XX applied to C1 = C([502,24]), C2 = C([0,30]), C3 = C1 + C2 = C([0,24]), and C∩ = C1 ∩ C2 = C([502,30]) based on
- linear OA(888, 511, F8, 34) (dual of [511, 423, 35]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−9,−8,…,24}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(882, 511, F8, 31) (dual of [511, 429, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(8106, 511, F8, 40) (dual of [511, 405, 41]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−9,−8,…,30}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(864, 511, F8, 25) (dual of [511, 447, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(814, 35, F8, 8) (dual of [35, 21, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(814, 63, F8, 8) (dual of [63, 49, 9]-code), using
- linear OA(87, 25, F8, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 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.