Information on Result #1017967

Linear OOA(6489, 2883586, F64, 3, 17) (dual of [(2883586, 3), 8650669, 18]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(6424, 87385, F64, 3, 8) (dual of [(87385, 3), 262131, 9]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6424, 262155, F64, 8) (dual of [262155, 262131, 9]-code), using
      • construction X applied to Ce(7) ⊂ Ce(4) [i] based on
        1. linear OA(6422, 262144, F64, 8) (dual of [262144, 262122, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
        2. linear OA(6413, 262144, F64, 5) (dual of [262144, 262131, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(6465, 2796201, F64, 3, 17) (dual of [(2796201, 3), 8388538, 18]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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.