Information on Result #674421

Linear OA(3244, 1594371, F3, 28) (dual of [1594371, 1594127, 29]-code), using construction X applied to Ce(27) ⊂ Ce(22) based on
  1. linear OA(3235, 1594323, F3, 28) (dual of [1594323, 1594088, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(3196, 1594323, F3, 23) (dual of [1594323, 1594127, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(39, 48, F3, 4) (dual of [48, 39, 5]-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 OA(3245, 1594372, F3, 28) (dual of [1594372, 1594127, 29]-code) [i]Code Embedding in Larger Space
2Linear OA(3243, 1594370, F3, 27) (dual of [1594370, 1594127, 28]-code) [i]Truncation
3Linear OOA(3244, 797185, F3, 2, 28) (dual of [(797185, 2), 1594126, 29]-NRT-code) [i]OOA Folding
4Linear OOA(3244, 531457, F3, 3, 28) (dual of [(531457, 3), 1594127, 29]-NRT-code) [i]
5Linear OOA(3244, 398592, F3, 4, 28) (dual of [(398592, 4), 1594124, 29]-NRT-code) [i]
6Linear OOA(3244, 318874, F3, 5, 28) (dual of [(318874, 5), 1594126, 29]-NRT-code) [i]