Information on Result #728594

Linear OA(3297, 1078, F32, 41) (dual of [1078, 981, 42]-code), using construction XX applied to C1 = C([0,32]), C2 = C([13,40]), C3 = C1 + C2 = C([13,32]), and C∩ = C1 ∩ C2 = C([0,40]) 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(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(3240, 1023, F32, 20) (dual of [1023, 983, 21]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {13,14,…,32}, and designed minimum distance d ≥ |I|+1 = 21 [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(327, 22, F32, 7) (dual of [22, 15, 8]-code or 22-arc in PG(6,32)), 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(3297, 539, F32, 2, 41) (dual of [(539, 2), 981, 42]-NRT-code) [i]OOA Folding