Information on Result #737286

Linear OA(4183, 16456, F4, 31) (dual of [16456, 16273, 32]-code), using construction X applied to Ce(30) ⊂ Ce(20) based on
  1. linear OA(4162, 16384, F4, 31) (dual of [16384, 16222, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(4183, 8228, F4, 2, 31) (dual of [(8228, 2), 16273, 32]-NRT-code) [i]OOA Folding
2Linear OOA(4183, 5485, F4, 3, 31) (dual of [(5485, 3), 16272, 32]-NRT-code) [i]