Information on Result #682741

Linear OA(553, 15651, F5, 10) (dual of [15651, 15598, 11]-code), using construction X applied to Ce(10) ⊂ Ce(5) based on
  1. linear OA(549, 15625, F5, 11) (dual of [15625, 15576, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(525, 15625, F5, 6) (dual of [15625, 15600, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), 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(553, 15651, F5, 2, 10) (dual of [(15651, 2), 31249, 11]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(553, 15651, F5, 3, 10) (dual of [(15651, 3), 46900, 11]-NRT-code) [i]
3Digital (43, 53, 15651)-net over F5 [i]
4Linear OOA(553, 7825, F5, 2, 10) (dual of [(7825, 2), 15597, 11]-NRT-code) [i]OOA Folding
5Linear OOA(553, 5217, F5, 3, 10) (dual of [(5217, 3), 15598, 11]-NRT-code) [i]
6Linear OOA(553, 3130, F5, 10, 10) (dual of [(3130, 10), 31247, 11]-NRT-code) [i]OA Folding and Stacking