Information on Result #738313

Linear OA(899, 103, F8, 85) (dual of [103, 4, 86]-code), using juxtaposition based on
  1. linear OA(834, 38, F8, 29) (dual of [38, 4, 30]-code), using
  2. linear OA(861, 65, F8, 55) (dual of [65, 4, 56]-code), using
    • projective code from ovoid in PG(3, 8) [i]
    • the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (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(899, 103, F8, 84) (dual of [103, 4, 85]-code) [i]Strength Reduction
2Linear OA(899, 103, F8, 83) (dual of [103, 4, 84]-code) [i]
3Linear OA(899, 103, F8, 82) (dual of [103, 4, 83]-code) [i]