Information on Result #678218

Linear OA(4208, 1048619, F4, 27) (dual of [1048619, 1048411, 28]-code), using construction X applied to Ce(26) ⊂ Ce(21) based on
  1. linear OA(4201, 1048576, F4, 27) (dual of [1048576, 1048375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(4161, 1048576, F4, 22) (dual of [1048576, 1048415, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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 OOA(4208, 524309, F4, 2, 27) (dual of [(524309, 2), 1048410, 28]-NRT-code) [i]OOA Folding
2Linear OOA(4208, 349539, F4, 3, 27) (dual of [(349539, 3), 1048409, 28]-NRT-code) [i]