Information on Result #712599
Linear OA(760, 128, F7, 26) (dual of [128, 68, 27]-code), using construction XX applied to C1 = C([111,21]), C2 = C([1,22]), C3 = C1 + C2 = C([1,21]), and C∩ = C1 ∩ C2 = C([111,22]) based on
- linear OA(753, 114, F7, 25) (dual of [114, 61, 26]-code), using the BCH-code C(I) with length 114 | 73−1, defining interval I = {−3,−2,…,21}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(749, 114, F7, 22) (dual of [114, 65, 23]-code), using the narrow-sense BCH-code C(I) with length 114 | 73−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(756, 114, F7, 26) (dual of [114, 58, 27]-code), using the BCH-code C(I) with length 114 | 73−1, defining interval I = {−3,−2,…,22}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(746, 114, F7, 21) (dual of [114, 68, 22]-code), using the narrow-sense BCH-code C(I) with length 114 | 73−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(74, 11, F7, 3) (dual of [11, 7, 4]-code or 11-cap in PG(3,7)), using
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.