Information on Result #1017891

Linear OOA(6478, 2883586, F64, 3, 15) (dual of [(2883586, 3), 8650680, 16]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(6421, 87385, F64, 3, 7) (dual of [(87385, 3), 262134, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6421, 262155, F64, 7) (dual of [262155, 262134, 8]-code), using
      • construction X applied to Ce(6) ⊂ Ce(3) [i] based on
        1. linear OA(6419, 262144, F64, 7) (dual of [262144, 262125, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
        2. linear OA(6410, 262144, F64, 4) (dual of [262144, 262134, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
        3. linear OA(642, 11, F64, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,64)), 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.