Information on Result #738298

Linear OA(8152, 156, F8, 131) (dual of [156, 4, 132]-code), using juxtaposition based on
  1. linear OA(812, 16, F8, 11) (dual of [16, 4, 12]-code), using
  2. linear OA(8136, 140, F8, 119) (dual of [140, 4, 120]-code), using
    • juxtaposition [i] based on
      1. 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]
      2. linear OA(871, 75, F8, 63) (dual of [75, 4, 64]-code), 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(8128, 132, F8, 107) (dual of [132, 4, 108]-code) [i]Truncation
2Linear OA(8127, 131, F8, 106) (dual of [131, 4, 107]-code) [i]
3Linear OA(8125, 129, F8, 104) (dual of [129, 4, 105]-code) [i]
4Linear OOA(8152, 78, F8, 2, 131) (dual of [(78, 2), 4, 132]-NRT-code) [i]OOA Folding
5Linear OOA(8152, 52, F8, 3, 131) (dual of [(52, 3), 4, 132]-NRT-code) [i]