Information on Result #737280

Linear OA(4225, 16456, F4, 39) (dual of [16456, 16231, 40]-code), using construction X applied to Ce(38) ⊂ Ce(28) based on
  1. linear OA(4204, 16384, F4, 39) (dual of [16384, 16180, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
  2. linear OA(4148, 16384, F4, 29) (dual of [16384, 16236, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  3. linear OA(421, 72, F4, 9) (dual of [72, 51, 10]-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(4225, 8228, F4, 2, 39) (dual of [(8228, 2), 16231, 40]-NRT-code) [i]OOA Folding
2Linear OOA(4225, 5485, F4, 3, 39) (dual of [(5485, 3), 16230, 40]-NRT-code) [i]