Information on Result #738118

Linear OA(3137, 144, F3, 87) (dual of [144, 7, 88]-code), using juxtaposition based on
  1. linear OA(319, 26, F3, 13) (dual of [26, 7, 14]-code), using
    • contraction [i] based on linear OA(345, 52, F3, 27) (dual of [52, 7, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [0,25], and minimum distance d ≥ |{−1,0,…,25}|+1 = 28 (BCH-bound) [i]
  2. linear OA(3111, 118, F3, 73) (dual of [118, 7, 74]-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.

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 OOA(3137, 48, F3, 3, 87) (dual of [(48, 3), 7, 88]-NRT-code) [i]OOA Folding