Information on Result #678405

Linear OA(467, 262165, F4, 10) (dual of [262165, 262098, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
  1. linear OA(464, 262144, F4, 10) (dual of [262144, 262080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(446, 262144, F4, 7) (dual of [262144, 262098, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-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(468, 262166, F4, 10) (dual of [262166, 262098, 11]-code) [i]Code Embedding in Larger Space
2Linear OOA(467, 131082, F4, 2, 10) (dual of [(131082, 2), 262097, 11]-NRT-code) [i]OOA Folding
3Linear OOA(467, 87388, F4, 3, 10) (dual of [(87388, 3), 262097, 11]-NRT-code) [i]
4Linear OOA(467, 52433, F4, 10, 10) (dual of [(52433, 10), 524263, 11]-NRT-code) [i]OA Folding and Stacking