Information on Result #1009311

Linear OOA(2197, 2798248, F2, 3, 15) (dual of [(2798248, 3), 8394547, 16]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(235, 2047, F2, 3, 7) (dual of [(2047, 3), 6106, 8]-NRT-code), using
  2. linear OOA(2162, 2796201, F2, 3, 15) (dual of [(2796201, 3), 8388441, 16]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(2197, 2798248, F2, 3, 14) (dual of [(2798248, 3), 8394547, 15]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2198, 2798248, F2, 3, 15) (dual of [(2798248, 3), 8394546, 16]-NRT-code) [i]OOA Duplication
3Linear OOA(2199, 2798248, F2, 3, 15) (dual of [(2798248, 3), 8394545, 16]-NRT-code) [i]
4Linear OOA(2197, 1399124, F2, 6, 15) (dual of [(1399124, 6), 8394547, 16]-NRT-code) [i]OOA Folding