Information on Result #613416

Linear OA(4153, 161, F4, 76) (dual of [161, 8, 77]-code), using construction X applied to C([0,62]) ⊂ C([1,62]) based on
  1. linear OA(4140, 147, F4, 76) (dual of [147, 7, 77]-code), using the expurgated narrow-sense BCH-code C(I) with length 147 | 421−1, defining interval I = [0,62], and minimum distance d ≥ |{−13,−12,…,62}|+1 = 77 (BCH-bound) [i]
  2. linear OA(4139, 147, F4, 62) (dual of [147, 8, 63]-code), using the narrow-sense BCH-code C(I) with length 147 | 421−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
  3. linear OA(413, 14, F4, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,4)), 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

None.