Information on Result #1323512

Linear OA(4160, 1048627, F4, 20) (dual of [1048627, 1048467, 21]-code), using construction X applied to Ce(20) ⊂ Ce(13) based on
  1. linear OA(4151, 1048576, F4, 21) (dual of [1048576, 1048425, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(4101, 1048576, F4, 14) (dual of [1048576, 1048475, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(4160, 524313, F4, 2, 20) (dual of [(524313, 2), 1048466, 21]-NRT-code) [i]OOA Folding
2Linear OOA(4160, 349542, F4, 3, 20) (dual of [(349542, 3), 1048466, 21]-NRT-code) [i]