Information on Result #733819

Linear OA(3288, 1131, F32, 32) (dual of [1131, 1043, 33]-code), using (u, u+v)-construction based on
  1. linear OA(3225, 104, F32, 16) (dual of [104, 79, 17]-code), using
  2. linear OA(3263, 1027, F32, 32) (dual of [1027, 964, 33]-code), using
    • construction XX applied to C1 = C([1022,29]), C2 = C([0,30]), C3 = C1 + C2 = C([0,29]), and C∩ = C1 ∩ C2 = C([1022,30]) [i] 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 = {−1,0,…,29}, and designed minimum distance d ≥ |I|+1 = 32 [i]
      2. linear OA(3261, 1023, F32, 31) (dual of [1023, 962, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
      3. linear OA(3263, 1023, F32, 32) (dual of [1023, 960, 33]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,30}, and designed minimum distance d ≥ |I|+1 = 33 [i]
      4. 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]
      5. linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
      6. linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code) (see above)

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(3288, 565, F32, 2, 32) (dual of [(565, 2), 1042, 33]-NRT-code) [i]OOA Folding