Information on Result #641389

Linear OA(8129, 136, F8, 101) (dual of [136, 7, 102]-code), using juxtaposition based on
  1. linear OA(856, 63, F8, 46) (dual of [63, 7, 47]-code), using
    • the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,45], and designed minimum distance d ≥ |I|+1 = 47 [i]
  2. linear OA(866, 73, F8, 54) (dual of [73, 7, 55]-code), using
    • the BCH-code C(I) with length 73 | 83−1, defining interval I = {−9,12,33,…,9}, and designed minimum distance d ≥ |I|+1 = 55 [i]

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 OA(8129, 136, F8, 100) (dual of [136, 7, 101]-code) [i]Strength Reduction
2Linear OOA(8129, 68, F8, 2, 101) (dual of [(68, 2), 7, 102]-NRT-code) [i]OOA Folding