Information on Result #678439

Linear OA(4254, 262190, F4, 37) (dual of [262190, 261936, 38]-code), using construction X applied to Ce(36) ⊂ Ce(30) based on
  1. linear OA(4244, 262144, F4, 37) (dual of [262144, 261900, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(4208, 262144, F4, 31) (dual of [262144, 261936, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(410, 46, F4, 5) (dual of [46, 36, 6]-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(4255, 262191, F4, 37) (dual of [262191, 261936, 38]-code) [i]Code Embedding in Larger Space
2Linear OA(4256, 262192, F4, 37) (dual of [262192, 261936, 38]-code) [i]
3Linear OA(4253, 262189, F4, 36) (dual of [262189, 261936, 37]-code) [i]Truncation
4Linear OOA(4254, 131095, F4, 2, 37) (dual of [(131095, 2), 261936, 38]-NRT-code) [i]OOA Folding
5Linear OOA(4254, 87396, F4, 3, 37) (dual of [(87396, 3), 261934, 38]-NRT-code) [i]
6Linear OOA(4254, 14566, F4, 37, 37) (dual of [(14566, 37), 538688, 38]-NRT-code) [i]OOA Folding and Stacking with Additional Row