Information on Result #729158

Linear OA(32108, 1063, F32, 50) (dual of [1063, 955, 51]-code), using construction XX applied to C1 = C([1012,35]), C2 = C([0,38]), C3 = C1 + C2 = C([0,35]), and C∩ = C1 ∩ C2 = C([1012,38]) based on
  1. linear OA(3290, 1023, F32, 47) (dual of [1023, 933, 48]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−11,−10,…,35}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  2. 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]
  3. linear OA(3296, 1023, F32, 50) (dual of [1023, 927, 51]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−11,−10,…,38}, and designed minimum distance d ≥ |I|+1 = 51 [i]
  4. linear OA(3268, 1023, F32, 36) (dual of [1023, 955, 37]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37 [i]
  5. linear OA(3210, 32, F32, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), using
  6. linear OA(322, 8, F32, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,32)), 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(32108, 531, F32, 2, 50) (dual of [(531, 2), 954, 51]-NRT-code) [i]OOA Folding