Information on Result #629474

Linear OA(2237, 249, F2, 115) (dual of [249, 12, 116]-code), using concatenation of two codes based on
  1. linear OA(477, 83, F4, 57) (dual of [83, 6, 58]-code), using
    • 2 times truncation [i] based on linear OA(479, 85, F4, 59) (dual of [85, 6, 60]-code), using
      • the BCH-code C(I) with length 85 | 44−1, defining interval I = {−4,2,8,…,4}, and designed minimum distance d ≥ |I|+1 = 60 [i]
  2. linear OA(21, 3, F2, 1) (dual of [3, 2, 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.

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(2237, 249, F2, 114) (dual of [249, 12, 115]-code) [i]Strength Reduction
2Linear OA(2236, 248, F2, 114) (dual of [248, 12, 115]-code) [i]Truncation
3Linear OA(2235, 247, F2, 113) (dual of [247, 12, 114]-code) [i]
4Linear OA(2233, 245, F2, 111) (dual of [245, 12, 112]-code) [i]
5Linear OA(2232, 244, F2, 110) (dual of [244, 12, 111]-code) [i]
6Linear OA(2230, 242, F2, 108) (dual of [242, 12, 109]-code) [i]
7Linear OOA(2237, 83, F2, 3, 115) (dual of [(83, 3), 12, 116]-NRT-code) [i]OOA Folding