Information on Result #684150

Linear OA(529, 138, F5, 11) (dual of [138, 109, 12]-code), using construction X applied to Ce(10) ⊂ Ce(6) based on
  1. linear OA(525, 125, F5, 11) (dual of [125, 100, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(516, 125, F5, 7) (dual of [125, 109, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(529, 69, F5, 2, 11) (dual of [(69, 2), 109, 12]-NRT-code) [i]OOA Folding