Information on Result #1017735

Linear OOA(6457, 2797568, F64, 3, 12) (dual of [(2797568, 3), 8392647, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(6412, 1367, F64, 3, 6) (dual of [(1367, 3), 4089, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6412, 4101, F64, 6) (dual of [4101, 4089, 7]-code), using
      • construction X applied to Ce(5) ⊂ Ce(3) [i] based on
        1. linear OA(6411, 4096, F64, 6) (dual of [4096, 4085, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
        2. linear OA(647, 4096, F64, 4) (dual of [4096, 4089, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
        3. linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), 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(6478, 5593769, F64, 3, 12) (dual of [(5593769, 3), 16781229, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(6482, 5595136, F64, 3, 12) (dual of [(5595136, 3), 16785326, 13]-NRT-code) [i]