Information on Result #687279

Linear OA(841, 4112, F8, 11) (dual of [4112, 4071, 12]-code), using construction X applied to Ce(10) ⊂ Ce(6) based on
  1. linear OA(837, 4096, F8, 11) (dual of [4096, 4059, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(825, 4096, F8, 7) (dual of [4096, 4071, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(841, 2056, F8, 2, 11) (dual of [(2056, 2), 4071, 12]-NRT-code) [i]OOA Folding
2Linear OOA(841, 1370, F8, 3, 11) (dual of [(1370, 3), 4069, 12]-NRT-code) [i]
3Linear OOA(841, 822, F8, 11, 11) (dual of [(822, 11), 9001, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row