Information on Result #1323554

Linear OA(4253, 262195, F4, 36) (dual of [262195, 261942, 37]-code), using construction X applied to Ce(36) ⊂ Ce(29) 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(4199, 262144, F4, 30) (dual of [262144, 261945, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(4253, 131097, F4, 2, 36) (dual of [(131097, 2), 261941, 37]-NRT-code) [i]OOA Folding
2Linear OOA(4253, 87398, F4, 3, 36) (dual of [(87398, 3), 261941, 37]-NRT-code) [i]