Information on Result #737542

Linear OA(5103, 15656, F5, 20) (dual of [15656, 15553, 21]-code), using construction X applied to C([0,10]) ⊂ C([0,7]) based on
  1. linear OA(597, 15626, F5, 21) (dual of [15626, 15529, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
  2. linear OA(573, 15626, F5, 15) (dual of [15626, 15553, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
  3. linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-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, 15656, F5, 2, 20) (dual of [(15656, 2), 31209, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(5103, 15656, F5, 3, 20) (dual of [(15656, 3), 46865, 21]-NRT-code) [i]
3Digital (83, 103, 15656)-net over F5 [i]
4Linear OOA(5103, 7828, F5, 2, 20) (dual of [(7828, 2), 15553, 21]-NRT-code) [i]OOA Folding