Information on Result #736955

Linear OA(3177, 19736, F3, 27) (dual of [19736, 19559, 28]-code), using construction X applied to Ce(27) ⊂ Ce(19) based on
  1. linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(3118, 19683, F3, 20) (dual of [19683, 19565, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-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(3177, 11605, F3, 2, 27) (dual of [(11605, 2), 23033, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(3177, 11605, F3, 3, 27) (dual of [(11605, 3), 34638, 28]-NRT-code) [i]
3Linear OOA(3177, 11605, F3, 4, 27) (dual of [(11605, 4), 46243, 28]-NRT-code) [i]
4Linear OOA(3177, 11605, F3, 5, 27) (dual of [(11605, 5), 57848, 28]-NRT-code) [i]
5Digital (150, 177, 11605)-net over F3 [i]
6Linear OOA(3177, 9868, F3, 2, 27) (dual of [(9868, 2), 19559, 28]-NRT-code) [i]OOA Folding
7Linear OOA(3177, 4934, F3, 4, 27) (dual of [(4934, 4), 19559, 28]-NRT-code) [i]
8Linear OOA(3177, 3947, F3, 5, 27) (dual of [(3947, 5), 19558, 28]-NRT-code) [i]
9Linear OOA(3177, 1518, F3, 27, 27) (dual of [(1518, 27), 40809, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row