Information on Result #713738

Linear OA(784, 377, F7, 29) (dual of [377, 293, 30]-code), using construction XX applied to C1 = C([40,64]), C2 = C([36,58]), C3 = C1 + C2 = C([40,58]), and C∩ = C1 ∩ C2 = C([36,64]) based on
  1. linear OA(764, 342, F7, 25) (dual of [342, 278, 26]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {40,41,…,64}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(758, 342, F7, 23) (dual of [342, 284, 24]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {36,37,…,58}, and designed minimum distance d ≥ |I|+1 = 24 [i]
  3. linear OA(773, 342, F7, 29) (dual of [342, 269, 30]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {36,37,…,64}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  4. linear OA(749, 342, F7, 19) (dual of [342, 293, 20]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {40,41,…,58}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  5. linear OA(77, 22, F7, 5) (dual of [22, 15, 6]-code), using
  6. linear OA(74, 13, F7, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,7)), 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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(785, 378, F7, 29) (dual of [378, 293, 30]-code) [i]Code Embedding in Larger Space
2Linear OA(783, 376, F7, 28) (dual of [376, 293, 29]-code) [i]Truncation
3Linear OOA(784, 188, F7, 2, 29) (dual of [(188, 2), 292, 30]-NRT-code) [i]OOA Folding
4Linear OOA(784, 125, F7, 3, 29) (dual of [(125, 3), 291, 30]-NRT-code) [i]