Information on Result #713768

Linear OA(789, 382, F7, 30) (dual of [382, 293, 31]-code), using construction XX applied to C1 = C([40,64]), C2 = C([35,58]), C3 = C1 + C2 = C([40,58]), and C∩ = C1 ∩ C2 = C([35,64]) 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(761, 342, F7, 24) (dual of [342, 281, 25]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {35,36,…,58}, and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. 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 = {35,36,…,64}, and designed minimum distance d ≥ |I|+1 = 31 [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(76, 18, F7, 4) (dual of [18, 12, 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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(789, 191, F7, 2, 30) (dual of [(191, 2), 293, 31]-NRT-code) [i]OOA Folding
2Linear OOA(789, 127, F7, 3, 30) (dual of [(127, 3), 292, 31]-NRT-code) [i]