Information on Result #719525

Linear OA(977, 762, F9, 25) (dual of [762, 685, 26]-code), using construction XX applied to C1 = C([69,91]), C2 = C([76,93]), C3 = C1 + C2 = C([76,91]), and C∩ = C1 ∩ C2 = C([69,93]) based on
  1. linear OA(961, 728, F9, 23) (dual of [728, 667, 24]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {69,70,…,91}, and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. linear OA(949, 728, F9, 18) (dual of [728, 679, 19]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {76,77,…,93}, and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {69,70,…,93}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  4. linear OA(943, 728, F9, 16) (dual of [728, 685, 17]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {76,77,…,91}, and designed minimum distance d ≥ |I|+1 = 17 [i]
  5. linear OA(99, 27, F9, 6) (dual of [27, 18, 7]-code), using
  6. linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-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(977, 381, F9, 2, 25) (dual of [(381, 2), 685, 26]-NRT-code) [i]OOA Folding
2Linear OOA(977, 254, F9, 3, 25) (dual of [(254, 3), 685, 26]-NRT-code) [i]