Information on Result #728412

Linear OA(3291, 1078, F32, 38) (dual of [1078, 987, 39]-code), using construction XX applied to C1 = C([9,37]), C2 = C([0,25]), C3 = C1 + C2 = C([9,25]), and C∩ = C1 ∩ C2 = C([0,37]) based on
  1. linear OA(3257, 1023, F32, 29) (dual of [1023, 966, 30]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {9,10,…,37}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(3251, 1023, F32, 26) (dual of [1023, 972, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(3272, 1023, F32, 38) (dual of [1023, 951, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
  4. linear OA(3234, 1023, F32, 17) (dual of [1023, 989, 18]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {9,10,…,25}, and designed minimum distance d ≥ |I|+1 = 18 [i]
  5. linear OA(3211, 32, F32, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)), using
  6. linear OA(328, 23, F32, 8) (dual of [23, 15, 9]-code or 23-arc in PG(7,32)), 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
1Linear OOA(3291, 539, F32, 2, 38) (dual of [(539, 2), 987, 39]-NRT-code) [i]OOA Folding