Information on Result #728741

Linear OA(3299, 1080, F32, 42) (dual of [1080, 981, 43]-code), using construction XX applied to C1 = C([0,32]), C2 = C([12,41]), C3 = C1 + C2 = C([12,32]), and C∩ = C1 ∩ C2 = C([0,41]) based on
  1. linear OA(3263, 1023, F32, 33) (dual of [1023, 960, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(3259, 1023, F32, 30) (dual of [1023, 964, 31]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {12,13,…,41}, 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(3242, 1023, F32, 21) (dual of [1023, 981, 22]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {12,13,…,32}, and designed minimum distance d ≥ |I|+1 = 22 [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(328, 25, F32, 8) (dual of [25, 17, 9]-code or 25-arc in PG(7,32)), 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(3299, 540, F32, 2, 42) (dual of [(540, 2), 981, 43]-NRT-code) [i]OOA Folding