Information on Result #714043

Linear OA(7110, 382, F7, 38) (dual of [382, 272, 39]-code), using construction XX applied to C1 = C([32,64]), C2 = C([27,58]), C3 = C1 + C2 = C([32,58]), and C∩ = C1 ∩ C2 = C([27,64]) based on
  1. 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 = {32,33,…,64}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. 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 = {27,28,…,58}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(797, 342, F7, 38) (dual of [342, 245, 39]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {27,28,…,64}, and designed minimum distance d ≥ |I|+1 = 39 [i]
  4. linear OA(770, 342, F7, 27) (dual of [342, 272, 28]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {32,33,…,58}, and designed minimum distance d ≥ |I|+1 = 28 [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(7110, 191, F7, 2, 38) (dual of [(191, 2), 272, 39]-NRT-code) [i]OOA Folding
2Linear OOA(7110, 127, F7, 3, 38) (dual of [(127, 3), 271, 39]-NRT-code) [i]