Information on Result #737563

Linear OA(555, 15655, F5, 11) (dual of [15655, 15600, 12]-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(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 OA(556, 15656, F5, 11) (dual of [15656, 15600, 12]-code) [i]Code Embedding in Larger Space
2Linear OOA(555, 15655, F5, 2, 11) (dual of [(15655, 2), 31255, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(555, 15655, F5, 3, 11) (dual of [(15655, 3), 46910, 12]-NRT-code) [i]
4Digital (44, 55, 15655)-net over F5 [i]
5Linear OA(556, 15657, F5, 11) (dual of [15657, 15601, 12]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OOA(555, 7827, F5, 2, 11) (dual of [(7827, 2), 15599, 12]-NRT-code) [i]OOA Folding
7Linear OOA(555, 5218, F5, 3, 11) (dual of [(5218, 3), 15599, 12]-NRT-code) [i]