Information on Result #641464

Linear OA(8144, 148, F8, 123) (dual of [148, 4, 124]-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(8135, 139, F8, 117) (dual of [139, 4, 118]-code), using
    • juxtaposition [i] based on
      1. linear OA(85, 9, F8, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)) (see above)
      2. linear OA(8126, 130, F8, 111) (dual of [130, 4, 112]-code), using
        • repeating each code word 2 times [i] based on 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(8144, 148, F8, 122) (dual of [148, 4, 123]-code) [i]Strength Reduction
2Linear OA(8144, 148, F8, 121) (dual of [148, 4, 122]-code) [i]
3Linear OA(8144, 148, F8, 120) (dual of [148, 4, 121]-code) [i]