Information on Result #1017850

Linear OOA(6473, 2883585, F64, 3, 14) (dual of [(2883585, 3), 8650682, 15]-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(6453, 2796201, F64, 3, 14) (dual of [(2796201, 3), 8388550, 15]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,13], 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

None.