Information on Result #1017890

Linear OOA(6477, 2883585, F64, 3, 15) (dual of [(2883585, 3), 8650678, 16]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(6420, 87384, F64, 3, 7) (dual of [(87384, 3), 262132, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6420, 262152, F64, 7) (dual of [262152, 262132, 8]-code), using
      • construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
        1. linear OA(6419, 262145, F64, 7) (dual of [262145, 262126, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
        2. linear OA(6413, 262145, F64, 5) (dual of [262145, 262132, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
        3. linear OA(641, 7, F64, 1) (dual of [7, 6, 2]-code), using
  2. linear OOA(6457, 2796201, F64, 3, 15) (dual of [(2796201, 3), 8388546, 16]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, 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.