Information on Result #728598

Linear OA(3296, 1076, F32, 41) (dual of [1076, 980, 42]-code), using construction XX applied to C1 = C([0,33]), C2 = C([13,40]), C3 = C1 + C2 = C([13,33]), and C∩ = C1 ∩ C2 = C([0,40]) based on
  1. linear OA(3264, 1023, F32, 34) (dual of [1023, 959, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. 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 = {13,14,…,40}, and designed minimum distance d ≥ |I|+1 = 29 [i]
  3. linear OA(3278, 1023, F32, 41) (dual of [1023, 945, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
  4. linear OA(3241, 1023, F32, 21) (dual of [1023, 982, 22]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {13,14,…,33}, and designed minimum distance d ≥ |I|+1 = 22 [i]
  5. linear OA(3212, 33, F32, 12) (dual of [33, 21, 13]-code or 33-arc in PG(11,32)), using
  6. linear OA(326, 20, F32, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,32)), 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(3296, 538, F32, 2, 41) (dual of [(538, 2), 980, 42]-NRT-code) [i]OOA Folding