Information on Result #1323468

Linear OA(2248, 311, F2, 82) (dual of [311, 63, 83]-code), using construction X applied to C([1,84]) ⊂ C([1,60]) based on
  1. linear OA(2208, 255, F2, 84) (dual of [255, 47, 85]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
  2. linear OA(2192, 255, F2, 62) (dual of [255, 63, 63]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,60], and minimum distance d ≥ 63 (sporadic result) [i]
  3. linear OA(240, 56, F2, 19) (dual of [56, 16, 20]-code), using

Mode: 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(2249, 312, F2, 83) (dual of [312, 63, 84]-code) [i]Adding a Parity Check Bit