Information on Result #685170

Linear OA(789, 360, F7, 33) (dual of [360, 271, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,14]) based on
  1. linear OA(785, 344, F7, 33) (dual of [344, 259, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  2. linear OA(773, 344, F7, 29) (dual of [344, 271, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
  3. linear OA(74, 16, F7, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,7)), 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 OOA(789, 180, F7, 2, 33) (dual of [(180, 2), 271, 34]-NRT-code) [i]OOA Folding
2Linear OOA(789, 120, F7, 3, 33) (dual of [(120, 3), 271, 34]-NRT-code) [i]