Information on Result #737595

Linear OA(5126, 15670, F5, 24) (dual of [15670, 15544, 25]-code), using construction X applied to Ce(23) ⊂ Ce(16) based on
  1. linear OA(5115, 15625, F5, 24) (dual of [15625, 15510, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. linear OA(579, 15625, F5, 17) (dual of [15625, 15546, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(511, 45, F5, 6) (dual of [45, 34, 7]-code), 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(5126, 7835, F5, 2, 24) (dual of [(7835, 2), 15544, 25]-NRT-code) [i]OOA Folding
2Linear OOA(5126, 5223, F5, 3, 24) (dual of [(5223, 3), 15543, 25]-NRT-code) [i]