Information on Result #674899

Linear OA(3145, 59073, F3, 22) (dual of [59073, 58928, 23]-code), using construction X applied to Ce(21) ⊂ Ce(18) based on
  1. 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]
  2. linear OA(3121, 59049, F3, 19) (dual of [59049, 58928, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(34, 24, F3, 2) (dual of [24, 20, 3]-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(3146, 59074, F3, 22) (dual of [59074, 58928, 23]-code) [i]Code Embedding in Larger Space
2Linear OA(3147, 59075, F3, 22) (dual of [59075, 58928, 23]-code) [i]
3Linear OA(3148, 59076, F3, 22) (dual of [59076, 58928, 23]-code) [i]
4Linear OOA(3145, 29536, F3, 2, 22) (dual of [(29536, 2), 58927, 23]-NRT-code) [i]OOA Folding
5Linear OOA(3145, 19691, F3, 3, 22) (dual of [(19691, 3), 58928, 23]-NRT-code) [i]
6Linear OOA(3145, 14768, F3, 4, 22) (dual of [(14768, 4), 58927, 23]-NRT-code) [i]
7Linear OOA(3145, 11814, F3, 5, 22) (dual of [(11814, 5), 58925, 23]-NRT-code) [i]
8Linear OOA(3145, 5370, F3, 22, 22) (dual of [(5370, 22), 117995, 23]-NRT-code) [i]OA Folding and Stacking