Information on Result #713846

Linear OA(792, 376, F7, 32) (dual of [376, 284, 33]-code), using construction XX applied to C1 = C([36,64]), C2 = C([33,58]), C3 = C1 + C2 = C([36,58]), and C∩ = C1 ∩ C2 = C([33,64]) based on
  1. 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]
  2. linear OA(767, 342, F7, 26) (dual of [342, 275, 27]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {33,34,…,58}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(782, 342, F7, 32) (dual of [342, 260, 33]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {33,34,…,64}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  4. 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]
  5. linear OA(77, 22, F7, 5) (dual of [22, 15, 6]-code), using
  6. linear OA(73, 12, F7, 2) (dual of [12, 9, 3]-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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(792, 188, F7, 2, 32) (dual of [(188, 2), 284, 33]-NRT-code) [i]OOA Folding
2Linear OOA(792, 125, F7, 3, 32) (dual of [(125, 3), 283, 33]-NRT-code) [i]