Information on Result #713374
Linear OA(767, 378, F7, 21) (dual of [378, 311, 22]-code), using construction XX applied to C1 = C([334,11]), C2 = C([0,12]), C3 = C1 + C2 = C([0,11]), and C∩ = C1 ∩ C2 = C([334,12]) based on
- linear OA(752, 342, F7, 20) (dual of [342, 290, 21]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−8,−7,…,11}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(734, 342, F7, 13) (dual of [342, 308, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(755, 342, F7, 21) (dual of [342, 287, 22]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−8,−7,…,12}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(731, 342, F7, 12) (dual of [342, 311, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(712, 33, F7, 7) (dual of [33, 21, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(712, 48, F7, 7) (dual of [48, 36, 8]-code), using
- the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(712, 48, F7, 7) (dual of [48, 36, 8]-code), 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.