Information on Result #675180

Linear OA(3170, 19710, F3, 28) (dual of [19710, 19540, 29]-code), using construction X applied to Ce(27) ⊂ Ce(22) 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(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
    • an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]

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(3170, 9855, F3, 2, 28) (dual of [(9855, 2), 19540, 29]-NRT-code) [i]OOA Folding
2Linear OOA(3170, 6570, F3, 3, 28) (dual of [(6570, 3), 19540, 29]-NRT-code) [i]
3Linear OOA(3170, 4927, F3, 4, 28) (dual of [(4927, 4), 19538, 29]-NRT-code) [i]
4Linear OOA(3170, 3942, F3, 5, 28) (dual of [(3942, 5), 19540, 29]-NRT-code) [i]