Information on Result #684091

Linear OA(575, 135, F5, 37) (dual of [135, 60, 38]-code), using construction X applied to Ce(36) ⊂ Ce(32) based on
  1. linear OA(571, 125, F5, 37) (dual of [125, 54, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(565, 125, F5, 33) (dual of [125, 60, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(54, 10, F5, 3) (dual of [10, 6, 4]-code or 10-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 OA(574, 134, F5, 36) (dual of [134, 60, 37]-code) [i]Truncation
2Linear OOA(575, 67, F5, 2, 37) (dual of [(67, 2), 59, 38]-NRT-code) [i]OOA Folding
3Linear OOA(575, 45, F5, 3, 37) (dual of [(45, 3), 60, 38]-NRT-code) [i]