Information on Result #713906
Linear OA(7101, 383, F7, 34) (dual of [383, 282, 35]-code), using construction XX applied to C1 = C([337,23]), C2 = C([1,28]), C3 = C1 + C2 = C([1,23]), and C∩ = C1 ∩ C2 = C([337,28]) based on
- linear OA(776, 342, F7, 29) (dual of [342, 266, 30]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−5,−4,…,23}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(772, 342, F7, 28) (dual of [342, 270, 29]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(788, 342, F7, 34) (dual of [342, 254, 35]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−5,−4,…,28}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(760, 342, F7, 23) (dual of [342, 282, 24]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(77, 23, F7, 5) (dual of [23, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OA(76, 18, F7, 4) (dual of [18, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code) (see above)
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-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.