Information on Result #729318

Linear OA(32100, 1027, F32, 52) (dual of [1027, 927, 53]-code), using construction XX applied to C1 = C([1022,49]), C2 = C([0,50]), C3 = C1 + C2 = C([0,49]), and C∩ = C1 ∩ C2 = C([1022,50]) based on
  1. linear OA(3298, 1023, F32, 51) (dual of [1023, 925, 52]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,49}, and designed minimum distance d ≥ |I|+1 = 52 [i]
  2. linear OA(3298, 1023, F32, 51) (dual of [1023, 925, 52]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52 [i]
  3. linear OA(32100, 1023, F32, 52) (dual of [1023, 923, 53]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,50}, and designed minimum distance d ≥ |I|+1 = 53 [i]
  4. linear OA(3296, 1023, F32, 50) (dual of [1023, 927, 51]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,49], and designed minimum distance d ≥ |I|+1 = 51 [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(16125, 1027, S16, 52) [i]Discarding Parts of the Base for OAs
2Linear OA(32107, 1050, F32, 52) (dual of [1050, 943, 53]-code) [i]VarÅ¡amov–Edel Lengthening
3Linear OA(32108, 1070, F32, 52) (dual of [1070, 962, 53]-code) [i]
4Linear OA(32109, 1106, F32, 52) (dual of [1106, 997, 53]-code) [i]
5Linear OA(32110, 1162, F32, 52) (dual of [1162, 1052, 53]-code) [i]