Information on Result #737943

Linear OA(983, 59096, F9, 16) (dual of [59096, 59013, 17]-code), using construction X applied to Ce(15) ⊂ Ce(7) based on
  1. linear OA(971, 59049, F9, 16) (dual of [59049, 58978, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(936, 59049, F9, 8) (dual of [59049, 59013, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(912, 47, F9, 7) (dual of [47, 35, 8]-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(983, 29548, F9, 2, 16) (dual of [(29548, 2), 59013, 17]-NRT-code) [i]OOA Folding
2Linear OOA(983, 19698, F9, 3, 16) (dual of [(19698, 3), 59011, 17]-NRT-code) [i]