Information on Result #683030

Linear OA(599, 3143, F5, 24) (dual of [3143, 3044, 25]-code), using construction X applied to Ce(23) ⊂ Ce(20) 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(581, 3125, F5, 21) (dual of [3125, 3044, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. linear OA(53, 18, F5, 2) (dual of [18, 15, 3]-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 OA(5100, 3144, F5, 24) (dual of [3144, 3044, 25]-code) [i]Code Embedding in Larger Space
2Linear OOA(599, 2925, F5, 2, 24) (dual of [(2925, 2), 5751, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(599, 2925, F5, 3, 24) (dual of [(2925, 3), 8676, 25]-NRT-code) [i]
4Digital (75, 99, 2925)-net over F5 [i]
5Linear OA(5100, 3145, F5, 24) (dual of [3145, 3045, 25]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OA(5101, 3147, F5, 24) (dual of [3147, 3046, 25]-code) [i]
7Linear OOA(599, 1571, F5, 2, 24) (dual of [(1571, 2), 3043, 25]-NRT-code) [i]OOA Folding
8Linear OOA(599, 1047, F5, 3, 24) (dual of [(1047, 3), 3042, 25]-NRT-code) [i]