Information on Result #727608

Linear OA(329, 1027, F32, 5) (dual of [1027, 1018, 6]-code), using construction XX applied to C1 = C([1022,2]), C2 = C([0,3]), C3 = C1 + C2 = C([0,2]), and C∩ = C1 ∩ C2 = C([1022,3]) based on
  1. linear OA(327, 1023, F32, 4) (dual of [1023, 1016, 5]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,1,2}, and designed minimum distance d ≥ |I|+1 = 5 [i]
  2. linear OA(327, 1023, F32, 4) (dual of [1023, 1016, 5]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
  3. linear OA(329, 1023, F32, 5) (dual of [1023, 1014, 6]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,1,2,3}, and designed minimum distance d ≥ |I|+1 = 6 [i]
  4. linear OA(325, 1023, F32, 3) (dual of [1023, 1018, 4]-code or 1023-cap in PG(4,32)), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 4 [i]
  5. linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
  6. linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code) (see above)

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1OA(1612, 1027, S16, 5) [i]Discarding Parts of the Base for OAs
2Linear OA(3230, 2054, F32, 11) (dual of [2054, 2024, 12]-code) [i](u, u+v)-Construction
3Linear OA(3240, 33798, F32, 11) (dual of [33798, 33758, 12]-code) [i]
4Linear OA(3250, 1049607, F32, 11) (dual of [1049607, 1049557, 12]-code) [i]
5Linear OA(3215, 32864, F32, 5) (dual of [32864, 32849, 6]-code) [i]Generalized (u, u+v)-Construction