Information on Result #674116

Linear OA(2119, 162, F2, 40) (dual of [162, 43, 41]-code), using construction X applied to C([1,42]) ⊂ C([1,28]) based on
  1. linear OA(298, 127, F2, 42) (dual of [127, 29, 43]-code), using the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(284, 127, F2, 30) (dual of [127, 43, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,28], and minimum distance d ≥ 31 (sporadic result) [i]
  3. linear OA(221, 35, F2, 9) (dual of [35, 14, 10]-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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2120, 163, F2, 41) (dual of [163, 43, 42]-code) [i]Adding a Parity Check Bit
2Linear OOA(2119, 81, F2, 2, 40) (dual of [(81, 2), 43, 41]-NRT-code) [i]OOA Folding
3Linear OOA(2119, 54, F2, 3, 40) (dual of [(54, 3), 43, 41]-NRT-code) [i]