Information on Result #629365

Linear OA(2149, 165, F2, 67) (dual of [165, 16, 68]-code), using concatenation of two codes based on
  1. linear OA(447, 55, F4, 33) (dual of [55, 8, 34]-code), using
    • 10 times truncation [i] based on linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [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(2149, 165, F2, 66) (dual of [165, 16, 67]-code) [i]Strength Reduction
2Linear OA(2149, 165, F2, 65) (dual of [165, 16, 66]-code) [i]
3Linear OA(2148, 164, F2, 66) (dual of [164, 16, 67]-code) [i]Truncation
4Linear OA(2147, 163, F2, 65) (dual of [163, 16, 66]-code) [i]
5Linear OOA(2149, 55, F2, 3, 67) (dual of [(55, 3), 16, 68]-NRT-code) [i]OOA Folding
6Linear OOA(2149, 33, F2, 5, 67) (dual of [(33, 5), 16, 68]-NRT-code) [i]