Information on Result #1019353

Linear OOA(12876, 3495252, F128, 3, 15) (dual of [(3495252, 3), 10485680, 16]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(12819, 699051, F128, 3, 7) (dual of [(699051, 3), 2097134, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(12819, 2097153, F128, 7) (dual of [2097153, 2097134, 8]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
  2. linear OOA(12857, 2796201, F128, 3, 15) (dual of [(2796201, 3), 8388546, 16]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [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

None.