Information on Result #1323515

Linear OA(4120, 1048627, F4, 15) (dual of [1048627, 1048507, 16]-code), using construction X applied to Ce(14) ⊂ Ce(8) based on
  1. linear OA(4111, 1048576, F4, 15) (dual of [1048576, 1048465, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(461, 1048576, F4, 9) (dual of [1048576, 1048515, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(4120, 524313, F4, 2, 15) (dual of [(524313, 2), 1048506, 16]-NRT-code) [i]OOA Folding
2Linear OOA(4120, 349542, F4, 3, 15) (dual of [(349542, 3), 1048506, 16]-NRT-code) [i]