Information on Result #1009528

Linear OOA(2245, 2796372, F2, 3, 19) (dual of [(2796372, 3), 8388871, 20]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(237, 171, F2, 3, 9) (dual of [(171, 3), 476, 10]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(237, 513, F2, 9) (dual of [513, 476, 10]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 513 | 218−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
  2. linear OOA(2208, 2796201, F2, 3, 19) (dual of [(2796201, 3), 8388395, 20]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [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(2245, 1398186, F2, 6, 19) (dual of [(1398186, 6), 8388871, 20]-NRT-code) [i]OOA Folding
2Linear OOA(2245, 932123, F2, 21, 19) (dual of [(932123, 21), 19574338, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row