Information on Result #728538

Linear OA(3297, 1084, F32, 40) (dual of [1084, 987, 41]-code), using construction XX applied to C1 = C([11,39]), C2 = C([0,27]), C3 = C1 + C2 = C([11,27]), and C∩ = C1 ∩ C2 = C([0,39]) 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 = {11,12,…,39}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(3255, 1023, F32, 28) (dual of [1023, 968, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
  3. linear OA(3276, 1023, F32, 40) (dual of [1023, 947, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [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 = {11,12,…,27}, 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(3210, 29, F32, 10) (dual of [29, 19, 11]-code or 29-arc in PG(9,32)), 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(3297, 542, F32, 2, 40) (dual of [(542, 2), 987, 41]-NRT-code) [i]OOA Folding