Information on Result #713383

Linear OA(759, 376, F7, 19) (dual of [376, 317, 20]-code), using construction XX applied to C1 = C([49,64]), C2 = C([46,58]), C3 = C1 + C2 = C([49,58]), and C∩ = C1 ∩ C2 = C([46,64]) based on
  1. linear OA(740, 342, F7, 16) (dual of [342, 302, 17]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {49,50,…,64}, and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(734, 342, F7, 13) (dual of [342, 308, 14]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {46,47,…,58}, and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. 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 = {46,47,…,64}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  4. linear OA(725, 342, F7, 10) (dual of [342, 317, 11]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {49,50,…,58}, and designed minimum distance d ≥ |I|+1 = 11 [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(759, 188, F7, 2, 19) (dual of [(188, 2), 317, 20]-NRT-code) [i]OOA Folding
2Linear OOA(759, 125, F7, 3, 19) (dual of [(125, 3), 316, 20]-NRT-code) [i]