Information on Result #683026

Linear OA(5119, 3143, F5, 29) (dual of [3143, 3024, 30]-code), using construction X applied to Ce(28) ⊂ Ce(25) based on
  1. linear OA(5116, 3125, F5, 29) (dual of [3125, 3009, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(5101, 3125, F5, 26) (dual of [3125, 3024, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(5120, 3144, F5, 29) (dual of [3144, 3024, 30]-code) [i]Code Embedding in Larger Space
2Linear OOA(5119, 3079, F5, 2, 29) (dual of [(3079, 2), 6039, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(5119, 3079, F5, 3, 29) (dual of [(3079, 3), 9118, 30]-NRT-code) [i]
4Digital (90, 119, 3079)-net over F5 [i]
5Linear OA(5120, 3145, F5, 29) (dual of [3145, 3025, 30]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OA(5121, 3147, F5, 29) (dual of [3147, 3026, 30]-code) [i]
7Linear OOA(5119, 1571, F5, 2, 29) (dual of [(1571, 2), 3023, 30]-NRT-code) [i]OOA Folding
8Linear OOA(5119, 1047, F5, 3, 29) (dual of [(1047, 3), 3022, 30]-NRT-code) [i]