Information on Result #718113

Linear OA(970, 100, F9, 43) (dual of [100, 30, 44]-code), using construction XX applied to C1 = C([9,50]), C2 = C([8,41]), C3 = C1 + C2 = C([9,41]), and C∩ = C1 ∩ C2 = C([8,50]) based on
  1. linear OA(959, 80, F9, 42) (dual of [80, 21, 43]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {9,10,…,50}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(952, 80, F9, 34) (dual of [80, 28, 35]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {8,9,…,41}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  3. linear OA(961, 80, F9, 43) (dual of [80, 19, 44]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {8,9,…,50}, and designed minimum distance d ≥ |I|+1 = 44 [i]
  4. linear OA(950, 80, F9, 33) (dual of [80, 30, 34]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {9,10,…,41}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  5. linear OA(99, 18, F9, 8) (dual of [18, 9, 9]-code), using
  6. linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(970, 50, F9, 2, 43) (dual of [(50, 2), 30, 44]-NRT-code) [i]OOA Folding