Information on Result #713804

Linear OA(792, 382, F7, 31) (dual of [382, 290, 32]-code), using construction XX applied to C1 = C([39,64]), C2 = C([34,58]), C3 = C1 + C2 = C([39,58]), and C∩ = C1 ∩ C2 = C([34,64]) based on
  1. 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 = {39,40,…,64}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. 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 = {34,35,…,58}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(779, 342, F7, 31) (dual of [342, 263, 32]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {34,35,…,64}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  4. linear OA(752, 342, F7, 20) (dual of [342, 290, 21]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {39,40,…,58}, and designed minimum distance d ≥ |I|+1 = 21 [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(792, 191, F7, 2, 31) (dual of [(191, 2), 290, 32]-NRT-code) [i]OOA Folding
2Linear OOA(792, 127, F7, 3, 31) (dual of [(127, 3), 289, 32]-NRT-code) [i]