Information on Result #682247

Linear OA(5144, 390688, F5, 21) (dual of [390688, 390544, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,6]) based on
  1. linear OA(5129, 390626, F5, 21) (dual of [390626, 390497, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
  2. linear OA(581, 390626, F5, 13) (dual of [390626, 390545, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
  3. linear OA(515, 62, F5, 7) (dual of [62, 47, 8]-code), using
    • the BCH-code C(I) with length 62 | 53−1, defining interval I = {5,8,11,…,23}, and designed minimum distance d ≥ |I|+1 = 8 [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 OOA(5144, 361251, F5, 2, 21) (dual of [(361251, 2), 722358, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5144, 361251, F5, 3, 21) (dual of [(361251, 3), 1083609, 22]-NRT-code) [i]
3Digital (123, 144, 361251)-net over F5 [i]
4Linear OOA(5144, 195344, F5, 2, 21) (dual of [(195344, 2), 390544, 22]-NRT-code) [i]OOA Folding
5Linear OOA(5144, 130229, F5, 3, 21) (dual of [(130229, 3), 390543, 22]-NRT-code) [i]
6Linear OOA(5144, 39068, F5, 21, 21) (dual of [(39068, 21), 820284, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row