Information on Result #641459

Linear OA(870, 74, F8, 61) (dual of [74, 4, 62]-code), using juxtaposition based on
  1. linear OA(85, 9, F8, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)), 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(870, 74, F8, 60) (dual of [74, 4, 61]-code) [i]Strength Reduction
2Linear OA(870, 74, F8, 59) (dual of [74, 4, 60]-code) [i]
3Linear OA(879, 83, F8, 67) (dual of [83, 4, 68]-code) [i]Juxtaposition
4Linear OA(881, 85, F8, 68) (dual of [85, 4, 69]-code) [i]
5Linear OA(882, 86, F8, 69) (dual of [86, 4, 70]-code) [i]
6Linear OA(883, 87, F8, 70) (dual of [87, 4, 71]-code) [i]
7Linear OA(884, 88, F8, 71) (dual of [88, 4, 72]-code) [i]
8Linear OOA(870, 37, F8, 2, 61) (dual of [(37, 2), 4, 62]-NRT-code) [i]OOA Folding