Information on Result #674964

Linear OA(3242, 59130, F3, 34) (dual of [59130, 58888, 35]-code), using construction X applied to Ce(33) ⊂ Ce(24) based on
  1. linear OA(3221, 59049, F3, 34) (dual of [59049, 58828, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. 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]
  3. linear OA(321, 81, F3, 8) (dual of [81, 60, 9]-code), using
    • an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(3242, 29565, F3, 2, 34) (dual of [(29565, 2), 58888, 35]-NRT-code) [i]OOA Folding
2Linear OOA(3242, 19710, F3, 3, 34) (dual of [(19710, 3), 58888, 35]-NRT-code) [i]
3Linear OOA(3242, 14782, F3, 4, 34) (dual of [(14782, 4), 58886, 35]-NRT-code) [i]
4Linear OOA(3242, 11826, F3, 5, 34) (dual of [(11826, 5), 58888, 35]-NRT-code) [i]
5Linear OOA(3242, 3478, F3, 34, 34) (dual of [(3478, 34), 118010, 35]-NRT-code) [i]OA Folding and Stacking