Information on Result #728471

Linear OA(3295, 1084, F32, 39) (dual of [1084, 989, 40]-code), using construction XX applied to C1 = C([11,38]), C2 = C([0,26]), C3 = C1 + C2 = C([11,26]), and C∩ = C1 ∩ C2 = C([0,38]) based on
  1. linear OA(3255, 1023, F32, 28) (dual of [1023, 968, 29]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {11,12,…,38}, and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(3253, 1023, F32, 27) (dual of [1023, 970, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(3274, 1023, F32, 39) (dual of [1023, 949, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [i]
  4. linear OA(3232, 1023, F32, 16) (dual of [1023, 991, 17]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {11,12,…,26}, and designed minimum distance d ≥ |I|+1 = 17 [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(3295, 542, F32, 2, 39) (dual of [(542, 2), 989, 40]-NRT-code) [i]OOA Folding