Information on Result #738171

Linear OA(779, 88, F7, 56) (dual of [88, 9, 57]-code), using juxtaposition based on
  1. linear OA(729, 38, F7, 22) (dual of [38, 9, 23]-code), using
  2. linear OA(741, 50, F7, 33) (dual of [50, 9, 34]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 50 | 74−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [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.

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 OA(779, 88, F7, 55) (dual of [88, 9, 56]-code) [i]Strength Reduction
2Linear OA(774, 83, F7, 51) (dual of [83, 9, 52]-code) [i]Truncation
3Linear OOA(779, 44, F7, 2, 56) (dual of [(44, 2), 9, 57]-NRT-code) [i]OOA Folding