Information on Result #1017741

Linear OOA(6463, 2883586, F64, 3, 12) (dual of [(2883586, 3), 8650695, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(6418, 87385, F64, 3, 6) (dual of [(87385, 3), 262137, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6418, 262155, F64, 6) (dual of [262155, 262137, 7]-code), using
      • construction X applied to Ce(5) ⊂ Ce(2) [i] based on
        1. linear OA(6416, 262144, F64, 6) (dual of [262144, 262128, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
        2. linear OA(647, 262144, F64, 3) (dual of [262144, 262137, 4]-code or 262144-cap in PG(6,64)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [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(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(6484, 5679787, F64, 3, 12) (dual of [(5679787, 3), 17039277, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(6490, 5767172, F64, 3, 12) (dual of [(5767172, 3), 17301426, 13]-NRT-code) [i]