Information on Result #702272

Linear OA(2123, 535, F2, 27) (dual of [535, 412, 28]-code), using construction XX applied to C1 = C([509,22]), C2 = C([1,24]), C3 = C1 + C2 = C([1,22]), and C∩ = C1 ∩ C2 = C([509,24]) based on
  1. linear OA(2109, 511, F2, 25) (dual of [511, 402, 26]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−2,−1,…,22}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(2108, 511, F2, 24) (dual of [511, 403, 25]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(2118, 511, F2, 27) (dual of [511, 393, 28]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−2,−1,…,24}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  4. linear OA(299, 511, F2, 22) (dual of [511, 412, 23]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  5. linear OA(24, 14, F2, 2) (dual of [14, 10, 3]-code), using
  6. linear OA(21, 10, F2, 1) (dual of [10, 9, 2]-code), 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 OA(2122, 534, F2, 26) (dual of [534, 412, 27]-code) [i]Truncation
2Linear OOA(2123, 107, F2, 5, 27) (dual of [(107, 5), 412, 28]-NRT-code) [i]OOA Folding