Information on Result #675712

Linear OA(391, 6572, F3, 17) (dual of [6572, 6481, 18]-code), using construction XX applied to Ce(16) ⊂ Ce(15) ⊂ Ce(13) based on
  1. linear OA(389, 6561, F3, 17) (dual of [6561, 6472, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(381, 6561, F3, 16) (dual of [6561, 6480, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(373, 6561, F3, 14) (dual of [6561, 6488, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  4. linear OA(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
  5. linear OA(31, 2, F3, 1) (dual of [2, 1, 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(391, 3286, F3, 2, 17) (dual of [(3286, 2), 6481, 18]-NRT-code) [i]OOA Folding
2Linear OOA(391, 1643, F3, 4, 17) (dual of [(1643, 4), 6481, 18]-NRT-code) [i]