Information on Result #728685

Linear OA(32101, 1084, F32, 42) (dual of [1084, 983, 43]-code), using construction XX applied to C1 = C([11,41]), C2 = C([0,29]), C3 = C1 + C2 = C([11,29]), and C∩ = C1 ∩ C2 = C([0,41]) based on
  1. linear OA(3261, 1023, F32, 31) (dual of [1023, 962, 32]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {11,12,…,41}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(3259, 1023, F32, 30) (dual of [1023, 964, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. 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]
  4. linear OA(3238, 1023, F32, 19) (dual of [1023, 985, 20]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {11,12,…,29}, and designed minimum distance d ≥ |I|+1 = 20 [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(32101, 542, F32, 2, 42) (dual of [(542, 2), 983, 43]-NRT-code) [i]OOA Folding