Information on Result #684133

Linear OA(575, 138, F5, 36) (dual of [138, 63, 37]-code), using construction X applied to Ce(36) ⊂ Ce(31) 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(562, 125, F5, 32) (dual of [125, 63, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [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 OA(574, 137, F5, 35) (dual of [137, 63, 36]-code) [i]Truncation
2Linear OA(578, 145, F5, 36) (dual of [145, 67, 37]-code) [i]VarÅ¡amov–Edel Lengthening
3Linear OA(579, 150, F5, 36) (dual of [150, 71, 37]-code) [i]
4Linear OA(580, 156, F5, 36) (dual of [156, 76, 37]-code) [i]
5Linear OOA(575, 69, F5, 2, 36) (dual of [(69, 2), 63, 37]-NRT-code) [i]OOA Folding
6Linear OOA(575, 46, F5, 3, 36) (dual of [(46, 3), 63, 37]-NRT-code) [i]