Information on Result #680567

Linear OA(4247, 1045, F4, 66) (dual of [1045, 798, 67]-code), using construction X applied to Ce(68) ⊂ Ce(60) based on
  1. linear OA(4241, 1024, F4, 69) (dual of [1024, 783, 70]-code), using an extension Ce(68) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
  2. linear OA(4226, 1024, F4, 61) (dual of [1024, 798, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
  3. linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-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(4247, 522, F4, 2, 66) (dual of [(522, 2), 797, 67]-NRT-code) [i]OOA Folding
2Linear OOA(4247, 348, F4, 3, 66) (dual of [(348, 3), 797, 67]-NRT-code) [i]