Information on Result #674927

Linear OA(3169, 59087, F3, 25) (dual of [59087, 58918, 26]-code), using construction X applied to Ce(24) ⊂ Ce(19) based on
  1. linear OA(3161, 59049, F3, 25) (dual of [59049, 58888, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(3131, 59049, F3, 20) (dual of [59049, 58918, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(38, 38, F3, 4) (dual of [38, 30, 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(3170, 59088, F3, 25) (dual of [59088, 58918, 26]-code) [i]Code Embedding in Larger Space
2Linear OA(3171, 59089, F3, 25) (dual of [59089, 58918, 26]-code) [i]
3Linear OA(3168, 59086, F3, 24) (dual of [59086, 58918, 25]-code) [i]Truncation
4Linear OOA(3169, 29543, F3, 2, 25) (dual of [(29543, 2), 58917, 26]-NRT-code) [i]OOA Folding
5Linear OOA(3169, 19695, F3, 3, 25) (dual of [(19695, 3), 58916, 26]-NRT-code) [i]
6Linear OOA(3169, 14771, F3, 4, 25) (dual of [(14771, 4), 58915, 26]-NRT-code) [i]
7Linear OOA(3169, 11817, F3, 5, 25) (dual of [(11817, 5), 58916, 26]-NRT-code) [i]