Information on Result #702524

Linear OA(2204, 535, F2, 47) (dual of [535, 331, 48]-code), using construction XX applied to C1 = C([509,42]), C2 = C([1,44]), C3 = C1 + C2 = C([1,42]), and C∩ = C1 ∩ C2 = C([509,44]) based on
  1. linear OA(2190, 511, F2, 45) (dual of [511, 321, 46]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−2,−1,…,42}, and designed minimum distance d ≥ |I|+1 = 46 [i]
  2. linear OA(2189, 511, F2, 44) (dual of [511, 322, 45]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
  3. linear OA(2199, 511, F2, 47) (dual of [511, 312, 48]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−2,−1,…,44}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  4. linear OA(2180, 511, F2, 42) (dual of [511, 331, 43]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [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(2203, 534, F2, 46) (dual of [534, 331, 47]-code) [i]Truncation
2Linear OOA(2204, 107, F2, 5, 47) (dual of [(107, 5), 331, 48]-NRT-code) [i]OOA Folding