Information on Result #1323528

Linear OA(4250, 1048663, F4, 31) (dual of [1048663, 1048413, 32]-code), using construction X applied to Ce(30) ⊂ Ce(21) based on
  1. linear OA(4231, 1048576, F4, 31) (dual of [1048576, 1048345, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(419, 87, F4, 8) (dual of [87, 68, 9]-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(4250, 524331, F4, 2, 31) (dual of [(524331, 2), 1048412, 32]-NRT-code) [i]OOA Folding
2Linear OOA(4250, 349554, F4, 3, 31) (dual of [(349554, 3), 1048412, 32]-NRT-code) [i]