Information on Result #714068

Linear OA(7110, 376, F7, 39) (dual of [376, 266, 40]-code), using construction XX applied to C1 = C([29,64]), C2 = C([26,58]), C3 = C1 + C2 = C([29,58]), and C∩ = C1 ∩ C2 = C([26,64]) based on
  1. linear OA(791, 342, F7, 36) (dual of [342, 251, 37]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,64}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(785, 342, F7, 33) (dual of [342, 257, 34]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {26,27,…,58}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  3. linear OA(7100, 342, F7, 39) (dual of [342, 242, 40]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {26,27,…,64}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  4. linear OA(776, 342, F7, 30) (dual of [342, 266, 31]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,58}, and designed minimum distance d ≥ |I|+1 = 31 [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(7110, 188, F7, 2, 39) (dual of [(188, 2), 266, 40]-NRT-code) [i]OOA Folding
2Linear OOA(7110, 125, F7, 3, 39) (dual of [(125, 3), 265, 40]-NRT-code) [i]