Information on Result #682486

Linear OA(581, 78149, F5, 14) (dual of [78149, 78068, 15]-code), using construction X applied to Ce(13) ⊂ Ce(10) based on
  1. linear OA(578, 78125, F5, 14) (dual of [78125, 78047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(557, 78125, F5, 11) (dual of [78125, 78068, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
    • the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]

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(582, 78150, F5, 14) (dual of [78150, 78068, 15]-code) [i]Code Embedding in Larger Space
2Linear OOA(581, 60401, F5, 2, 14) (dual of [(60401, 2), 120721, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(581, 60401, F5, 3, 14) (dual of [(60401, 3), 181122, 15]-NRT-code) [i]
4Digital (67, 81, 60401)-net over F5 [i]
5Linear OOA(581, 39074, F5, 2, 14) (dual of [(39074, 2), 78067, 15]-NRT-code) [i]OOA Folding
6Linear OOA(581, 26049, F5, 3, 14) (dual of [(26049, 3), 78066, 15]-NRT-code) [i]
7Linear OOA(581, 11164, F5, 14, 14) (dual of [(11164, 14), 156215, 15]-NRT-code) [i]OA Folding and Stacking