Information on Result #728474

Linear OA(3294, 1081, F32, 39) (dual of [1081, 987, 40]-code), using construction XX applied to C1 = C([10,38]), C2 = C([0,26]), C3 = C1 + C2 = C([10,26]), and C∩ = C1 ∩ C2 = C([0,38]) based on
  1. linear OA(3257, 1023, F32, 29) (dual of [1023, 966, 30]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {10,11,…,38}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(3253, 1023, F32, 27) (dual of [1023, 970, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(3274, 1023, F32, 39) (dual of [1023, 949, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [i]
  4. linear OA(3234, 1023, F32, 17) (dual of [1023, 989, 18]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {10,11,…,26}, and designed minimum distance d ≥ |I|+1 = 18 [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(3294, 540, F32, 2, 39) (dual of [(540, 2), 986, 40]-NRT-code) [i]OOA Folding