Information on Result #683911

Linear OA(5123, 323, F5, 41) (dual of [323, 200, 42]-code), using construction X applied to Ce(40) ⊂ Ce(36) based on
  1. linear OA(5119, 313, F5, 41) (dual of [313, 194, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(5113, 313, F5, 37) (dual of [313, 200, 38]-code), using an extension Ce(36) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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 OOA(5123, 161, F5, 2, 41) (dual of [(161, 2), 199, 42]-NRT-code) [i]OOA Folding