Information on Result #629476

Linear OA(2240, 252, F2, 117) (dual of [252, 12, 118]-code), using concatenation of two codes based on
  1. linear OA(478, 84, F4, 58) (dual of [84, 6, 59]-code), using
    • 1 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(2239, 251, F2, 116) (dual of [251, 12, 117]-code) [i]Truncation
2Linear OA(2238, 250, F2, 115) (dual of [250, 12, 116]-code) [i]
3Linear OA(2236, 248, F2, 113) (dual of [248, 12, 114]-code) [i]
4Linear OA(2235, 247, F2, 112) (dual of [247, 12, 113]-code) [i]
5Linear OA(2233, 245, F2, 110) (dual of [245, 12, 111]-code) [i]
6Linear OOA(2240, 126, F2, 2, 117) (dual of [(126, 2), 12, 118]-NRT-code) [i]OOA Folding
7Linear OOA(2240, 84, F2, 3, 117) (dual of [(84, 3), 12, 118]-NRT-code) [i]