Information on Result #687283

Linear OA(8169, 4116, F8, 47) (dual of [4116, 3947, 48]-code), using construction X applied to Ce(46) ⊂ Ce(42) based on
  1. linear OA(8165, 4096, F8, 47) (dual of [4096, 3931, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
  2. linear OA(8149, 4096, F8, 43) (dual of [4096, 3947, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
  3. linear OA(84, 20, F8, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,8)), 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(8169, 2058, F8, 2, 47) (dual of [(2058, 2), 3947, 48]-NRT-code) [i]OOA Folding
2Linear OOA(8169, 1372, F8, 3, 47) (dual of [(1372, 3), 3947, 48]-NRT-code) [i]