Information on Result #687281

Linear OA(833, 4112, F8, 9) (dual of [4112, 4079, 10]-code), using construction X applied to Ce(8) ⊂ Ce(4) based on
  1. linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OA(817, 4096, F8, 5) (dual of [4096, 4079, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
  3. linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-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(833, 2056, F8, 2, 9) (dual of [(2056, 2), 4079, 10]-NRT-code) [i]OOA Folding
2Linear OOA(833, 1370, F8, 3, 9) (dual of [(1370, 3), 4077, 10]-NRT-code) [i]