Information on Result #736847

Linear OA(3233, 531524, F3, 27) (dual of [531524, 531291, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,9]) based on
  1. linear OA(3217, 531442, F3, 27) (dual of [531442, 531225, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  2. linear OA(3145, 531442, F3, 19) (dual of [531442, 531297, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  3. linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-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 OOA(3233, 265762, F3, 2, 27) (dual of [(265762, 2), 531291, 28]-NRT-code) [i]OOA Folding
2Linear OOA(3233, 177174, F3, 3, 27) (dual of [(177174, 3), 531289, 28]-NRT-code) [i]
3Linear OOA(3233, 132881, F3, 4, 27) (dual of [(132881, 4), 531291, 28]-NRT-code) [i]
4Linear OOA(3233, 106304, F3, 5, 27) (dual of [(106304, 5), 531287, 28]-NRT-code) [i]
5Linear OOA(3233, 40886, F3, 27, 27) (dual of [(40886, 27), 1103689, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row