Information on Result #629472

Linear OA(2234, 246, F2, 113) (dual of [246, 12, 114]-code), using concatenation of two codes based on
  1. linear OA(476, 82, F4, 56) (dual of [82, 6, 57]-code), using
    • 3 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(2234, 246, F2, 112) (dual of [246, 12, 113]-code) [i]Strength Reduction
2Linear OA(2234, 246, F2, 111) (dual of [246, 12, 112]-code) [i]
3Linear OA(2233, 245, F2, 112) (dual of [245, 12, 113]-code) [i]Truncation
4Linear OA(2232, 244, F2, 111) (dual of [244, 12, 112]-code) [i]
5Linear OA(2230, 242, F2, 109) (dual of [242, 12, 110]-code) [i]
6Linear OA(2229, 241, F2, 108) (dual of [241, 12, 109]-code) [i]
7Linear OOA(2234, 123, F2, 2, 113) (dual of [(123, 2), 12, 114]-NRT-code) [i]OOA Folding
8Linear OOA(2234, 82, F2, 3, 113) (dual of [(82, 3), 12, 114]-NRT-code) [i]