Information on Result #1323648

Linear OA(4228, 65611, F4, 35) (dual of [65611, 65383, 36]-code), using construction X applied to Ce(34) ⊂ Ce(25) based on
  1. linear OA(4209, 65536, F4, 35) (dual of [65536, 65327, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(4153, 65536, F4, 26) (dual of [65536, 65383, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(419, 75, F4, 8) (dual of [75, 56, 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 OA(4229, 65612, F4, 35) (dual of [65612, 65383, 36]-code) [i]Code Embedding in Larger Space
2Linear OOA(4228, 32805, F4, 2, 35) (dual of [(32805, 2), 65382, 36]-NRT-code) [i]OOA Folding