Information on Result #737650

Linear OA(5103, 3153, F5, 24) (dual of [3153, 3050, 25]-code), using construction X applied to Ce(23) ⊂ Ce(17) based on
  1. linear OA(596, 3125, F5, 24) (dual of [3125, 3029, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. linear OA(571, 3125, F5, 18) (dual of [3125, 3054, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(5103, 1576, F5, 2, 24) (dual of [(1576, 2), 3049, 25]-NRT-code) [i]OOA Folding
2Linear OOA(5103, 1051, F5, 3, 24) (dual of [(1051, 3), 3050, 25]-NRT-code) [i]