Information on Result #728135

Linear OA(3274, 1066, F32, 31) (dual of [1066, 992, 32]-code), using construction XX applied to C1 = C([1012,15]), C2 = C([0,19]), C3 = C1 + C2 = C([0,15]), and C∩ = C1 ∩ C2 = C([1012,19]) based on
  1. linear OA(3253, 1023, F32, 27) (dual of [1023, 970, 28]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−11,−10,…,15}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(3239, 1023, F32, 20) (dual of [1023, 984, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. 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,−10,…,19}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  4. linear OA(3231, 1023, F32, 16) (dual of [1023, 992, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [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(323, 11, F32, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,32) or 11-cap in PG(2,32)), 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(3274, 533, F32, 2, 31) (dual of [(533, 2), 992, 32]-NRT-code) [i]OOA Folding