Information on Result #729203

Linear OA(32103, 1048, F32, 50) (dual of [1048, 945, 51]-code), using construction XX applied to C1 = C([1015,40]), C2 = C([0,41]), C3 = C1 + C2 = C([0,40]), and C∩ = C1 ∩ C2 = C([1015,41]) based on
  1. linear OA(3294, 1023, F32, 49) (dual of [1023, 929, 50]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−8,−7,…,40}, and designed minimum distance d ≥ |I|+1 = 50 [i]
  2. linear OA(3280, 1023, F32, 42) (dual of [1023, 943, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [i]
  3. linear OA(3296, 1023, F32, 50) (dual of [1023, 927, 51]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−8,−7,…,41}, and designed minimum distance d ≥ |I|+1 = 51 [i]
  4. linear OA(3278, 1023, F32, 41) (dual of [1023, 945, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
  5. linear OA(327, 23, F32, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,32)), using
  6. linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using

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(16129, 1048, S16, 50) [i]Discarding Parts of the Base for OAs
2Linear OOA(32103, 524, F32, 2, 50) (dual of [(524, 2), 945, 51]-NRT-code) [i]OOA Folding