Information on Result #672464

Linear OA(287, 131090, F2, 11) (dual of [131090, 131003, 12]-code), using construction X applied to Ce(10) ⊂ Ce(8) based on
  1. linear OA(286, 131072, F2, 11) (dual of [131072, 130986, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(269, 131072, F2, 9) (dual of [131072, 131003, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(21, 18, F2, 1) (dual of [18, 17, 2]-code), 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(287, 65545, F2, 2, 11) (dual of [(65545, 2), 131003, 12]-NRT-code) [i]OOA Folding
2Linear OOA(287, 32772, F2, 4, 11) (dual of [(32772, 4), 131001, 12]-NRT-code) [i]
3Linear OOA(287, 26218, F2, 5, 11) (dual of [(26218, 5), 131003, 12]-NRT-code) [i]