Information on Result #737633

Linear OA(5143, 3153, F5, 34) (dual of [3153, 3010, 35]-code), using construction X applied to Ce(33) ⊂ Ce(27) based on
  1. linear OA(5136, 3125, F5, 34) (dual of [3125, 2989, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(5111, 3125, F5, 28) (dual of [3125, 3014, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(57, 28, F5, 5) (dual of [28, 21, 6]-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(5143, 1576, F5, 2, 34) (dual of [(1576, 2), 3009, 35]-NRT-code) [i]OOA Folding
2Linear OOA(5143, 1051, F5, 3, 34) (dual of [(1051, 3), 3010, 35]-NRT-code) [i]