Information on Result #1009252

Linear OOA(2205, 2812584, F2, 3, 14) (dual of [(2812584, 3), 8437547, 15]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(244, 16383, F2, 3, 7) (dual of [(16383, 3), 49105, 8]-NRT-code), using
  2. linear OOA(2161, 2796201, F2, 3, 14) (dual of [(2796201, 3), 8388442, 15]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(2207, 2812584, F2, 3, 14) (dual of [(2812584, 3), 8437545, 15]-NRT-code) [i]OOA Duplication
2Linear OOA(2205, 2812584, F2, 4, 14) (dual of [(2812584, 4), 11250131, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(2205, 2812584, F2, 5, 14) (dual of [(2812584, 5), 14062715, 15]-NRT-code) [i]
4Linear OOA(2205, 2812584, F2, 6, 14) (dual of [(2812584, 6), 16875299, 15]-NRT-code) [i]
5Linear OOA(2205, 2812584, F2, 7, 14) (dual of [(2812584, 7), 19687883, 15]-NRT-code) [i]
6Linear OOA(2205, 2812584, F2, 8, 14) (dual of [(2812584, 8), 22500467, 15]-NRT-code) [i]
7Digital (191, 205, 2812584)-net over F2 [i]
8Linear OOA(2205, 1406292, F2, 6, 14) (dual of [(1406292, 6), 8437547, 15]-NRT-code) [i]OOA Folding