Information on Result #728616

Linear OA(3298, 1081, F32, 41) (dual of [1081, 983, 42]-code), using construction XX applied to C1 = C([10,40]), C2 = C([0,28]), C3 = C1 + C2 = C([10,28]), and C∩ = C1 ∩ C2 = C([0,40]) 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 = {10,11,…,40}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(3257, 1023, F32, 29) (dual of [1023, 966, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [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(3238, 1023, F32, 19) (dual of [1023, 985, 20]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {10,11,…,28}, and designed minimum distance d ≥ |I|+1 = 20 [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(329, 26, F32, 9) (dual of [26, 17, 10]-code or 26-arc in PG(8,32)), 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(3298, 540, F32, 2, 41) (dual of [(540, 2), 982, 42]-NRT-code) [i]OOA Folding