Information on Result #673753

Linear OA(2253, 284, F2, 103) (dual of [284, 31, 104]-code), using construction XX applied to Ce(110) ⊂ Ce(94) ⊂ Ce(90) based on
  1. linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using an extension Ce(110) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,110], and designed minimum distance d ≥ |I|+1 = 111 [i]
  2. linear OA(2227, 256, F2, 95) (dual of [256, 29, 96]-code), using an extension Ce(94) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,94], and designed minimum distance d ≥ |I|+1 = 95 [i]
  3. linear OA(2219, 256, F2, 91) (dual of [256, 37, 92]-code), using an extension Ce(90) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,90], and designed minimum distance d ≥ |I|+1 = 91 [i]
  4. linear OA(212, 22, F2, 7) (dual of [22, 10, 8]-code), using
  5. linear OA(24, 6, F2, 3) (dual of [6, 2, 4]-code or 6-cap in PG(3,2)), 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 OA(2252, 283, F2, 102) (dual of [283, 31, 103]-code) [i]Truncation
2Linear OOA(2253, 142, F2, 2, 103) (dual of [(142, 2), 31, 104]-NRT-code) [i]OOA Folding