Information on Result #736914

Linear OA(3179, 19754, F3, 27) (dual of [19754, 19575, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,9]) based on
  1. linear OA(3163, 19684, F3, 27) (dual of [19684, 19521, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  2. linear OA(3109, 19684, F3, 19) (dual of [19684, 19575, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  3. linear OA(316, 70, F3, 7) (dual of [70, 54, 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(3179, 12673, F3, 2, 27) (dual of [(12673, 2), 25167, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3179, 12673, F3, 3, 27) (dual of [(12673, 3), 37840, 28]-NRT-code) [i]
3Linear OOA(3179, 12673, F3, 4, 27) (dual of [(12673, 4), 50513, 28]-NRT-code) [i]
4Linear OOA(3179, 12673, F3, 5, 27) (dual of [(12673, 5), 63186, 28]-NRT-code) [i]
5Digital (152, 179, 12673)-net over F3 [i]
6Linear OOA(3179, 9877, F3, 2, 27) (dual of [(9877, 2), 19575, 28]-NRT-code) [i]OOA Folding
7Linear OOA(3179, 6584, F3, 3, 27) (dual of [(6584, 3), 19573, 28]-NRT-code) [i]
8Linear OOA(3179, 4938, F3, 4, 27) (dual of [(4938, 4), 19573, 28]-NRT-code) [i]
9Linear OOA(3179, 3950, F3, 5, 27) (dual of [(3950, 5), 19571, 28]-NRT-code) [i]
10Linear OOA(3179, 1519, F3, 27, 27) (dual of [(1519, 27), 40834, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row