Information on Result #674970

Linear OA(3166, 59077, F3, 24) (dual of [59077, 58911, 25]-code), using construction XX applied to Ce(24) ⊂ Ce(21) ⊂ 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(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. 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]
  4. linear OA(31, 24, F3, 1) (dual of [24, 23, 2]-code), using
  5. linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-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(3166, 29538, F3, 2, 24) (dual of [(29538, 2), 58910, 25]-NRT-code) [i]OOA Folding
2Linear OOA(3166, 19692, F3, 3, 24) (dual of [(19692, 3), 58910, 25]-NRT-code) [i]
3Linear OOA(3166, 14769, F3, 4, 24) (dual of [(14769, 4), 58910, 25]-NRT-code) [i]
4Linear OOA(3166, 11815, F3, 5, 24) (dual of [(11815, 5), 58909, 25]-NRT-code) [i]
5Linear OOA(3166, 4923, F3, 24, 24) (dual of [(4923, 24), 117986, 25]-NRT-code) [i]OA Folding and Stacking