Information on Result #684146

Linear OA(541, 138, F5, 16) (dual of [138, 97, 17]-code), using construction X applied to Ce(15) ⊂ Ce(11) based on
  1. linear OA(537, 125, F5, 16) (dual of [125, 88, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(528, 125, F5, 12) (dual of [125, 97, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(54, 13, F5, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,5)), 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(541, 69, F5, 2, 16) (dual of [(69, 2), 97, 17]-NRT-code) [i]OOA Folding