Information on Result #615306

Linear OA(867, 72, F8, 55) (dual of [72, 5, 56]-code), using construction X applied to C([0,27]) ⊂ C([1,27]) based on
  1. linear OA(861, 65, F8, 55) (dual of [65, 4, 56]-code), using 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]
  2. linear OA(860, 65, F8, 48) (dual of [65, 5, 49]-code), using the narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [1,27], and minimum distance d ≥ |{−8,20,48,…,8}|+1 = 49 (BCH-bound) [i]
  3. linear OA(86, 7, F8, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,8)), 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 OA(8139, 144, F8, 111) (dual of [144, 5, 112]-code) [i]Repeating Each Code Word
2Linear OA(881, 86, F8, 64) (dual of [86, 5, 65]-code) [i]Juxtaposition
3Linear OA(8127, 132, F8, 102) (dual of [132, 5, 103]-code) [i]
4Linear OA(8128, 133, F8, 103) (dual of [133, 5, 104]-code) [i]
5Linear OA(8129, 134, F8, 104) (dual of [134, 5, 105]-code) [i]
6Linear OA(8130, 135, F8, 105) (dual of [135, 5, 106]-code) [i]
7Linear OA(8131, 136, F8, 106) (dual of [136, 5, 107]-code) [i]