Information on Result #674905

Linear OA(3105, 59073, F3, 16) (dual of [59073, 58968, 17]-code), using construction X applied to Ce(15) ⊂ Ce(12) based on
  1. linear OA(3101, 59049, F3, 16) (dual of [59049, 58948, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(381, 59049, F3, 13) (dual of [59049, 58968, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(3106, 59074, F3, 16) (dual of [59074, 58968, 17]-code) [i]Code Embedding in Larger Space
2Linear OA(3107, 59075, F3, 16) (dual of [59075, 58968, 17]-code) [i]
3Linear OA(3108, 59076, F3, 16) (dual of [59076, 58968, 17]-code) [i]
4Linear OOA(3105, 29536, F3, 2, 16) (dual of [(29536, 2), 58967, 17]-NRT-code) [i]OOA Folding
5Linear OOA(3105, 19691, F3, 3, 16) (dual of [(19691, 3), 58968, 17]-NRT-code) [i]
6Linear OOA(3105, 14768, F3, 4, 16) (dual of [(14768, 4), 58967, 17]-NRT-code) [i]
7Linear OOA(3105, 11814, F3, 5, 16) (dual of [(11814, 5), 58965, 17]-NRT-code) [i]
8Linear OOA(3105, 7384, F3, 16, 16) (dual of [(7384, 16), 118039, 17]-NRT-code) [i]OA Folding and Stacking