Information on Result #687280

Linear OA(837, 4112, F8, 10) (dual of [4112, 4075, 11]-code), using construction X applied to Ce(9) ⊂ Ce(5) based on
  1. linear OA(833, 4096, F8, 10) (dual of [4096, 4063, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(821, 4096, F8, 6) (dual of [4096, 4075, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(837, 2056, F8, 2, 10) (dual of [(2056, 2), 4075, 11]-NRT-code) [i]OOA Folding
2Linear OOA(837, 1370, F8, 3, 10) (dual of [(1370, 3), 4073, 11]-NRT-code) [i]
3Linear OOA(837, 822, F8, 10, 10) (dual of [(822, 10), 8183, 11]-NRT-code) [i]OA Folding and Stacking