Information on Result #1323557

Linear OA(4217, 262195, F4, 31) (dual of [262195, 261978, 32]-code), using construction X applied to Ce(30) ⊂ Ce(24) based on
  1. 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]
  2. linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using

Mode: 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(4217, 131097, F4, 2, 31) (dual of [(131097, 2), 261977, 32]-NRT-code) [i]OOA Folding
2Linear OOA(4217, 87398, F4, 3, 31) (dual of [(87398, 3), 261977, 32]-NRT-code) [i]