Information on Result #728656

Linear OA(3294, 1072, F32, 41) (dual of [1072, 978, 42]-code), using construction XX applied to C1 = C([1022,33]), C2 = C([11,39]), C3 = C1 + C2 = C([11,33]), and C∩ = C1 ∩ C2 = C([1022,39]) based on
  1. linear OA(3266, 1023, F32, 35) (dual of [1023, 957, 36]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,33}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  2. 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]
  3. linear OA(3278, 1023, F32, 41) (dual of [1023, 945, 42]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,39}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  4. linear OA(3245, 1023, F32, 23) (dual of [1023, 978, 24]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {11,12,…,33}, and designed minimum distance d ≥ |I|+1 = 24 [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(325, 17, F32, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,32)), 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(3294, 536, F32, 2, 41) (dual of [(536, 2), 978, 42]-NRT-code) [i]OOA Folding