Information on Result #675149

Linear OA(394, 19696, F3, 16) (dual of [19696, 19602, 17]-code), using construction X applied to Ce(15) ⊂ Ce(12) based on
  1. linear OA(391, 19683, F3, 16) (dual of [19683, 19592, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(373, 19683, F3, 13) (dual of [19683, 19610, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  3. linear OA(33, 13, F3, 2) (dual of [13, 10, 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 OOA(394, 9848, F3, 2, 16) (dual of [(9848, 2), 19602, 17]-NRT-code) [i]OOA Folding
2Linear OOA(394, 6565, F3, 3, 16) (dual of [(6565, 3), 19601, 17]-NRT-code) [i]
3Linear OOA(394, 4924, F3, 4, 16) (dual of [(4924, 4), 19602, 17]-NRT-code) [i]
4Linear OOA(394, 3939, F3, 5, 16) (dual of [(3939, 5), 19601, 17]-NRT-code) [i]
5Linear OOA(394, 2462, F3, 16, 16) (dual of [(2462, 16), 39298, 17]-NRT-code) [i]OA Folding and Stacking