Information on Result #702326

Linear OA(2150, 535, F2, 33) (dual of [535, 385, 34]-code), using construction XX applied to C1 = C([509,28]), C2 = C([1,30]), C3 = C1 + C2 = C([1,28]), and C∩ = C1 ∩ C2 = C([509,30]) based on
  1. linear OA(2136, 511, F2, 31) (dual of [511, 375, 32]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−2,−1,…,28}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(2135, 511, F2, 30) (dual of [511, 376, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(2145, 511, F2, 33) (dual of [511, 366, 34]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−2,−1,…,30}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  4. linear OA(2126, 511, F2, 28) (dual of [511, 385, 29]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(2149, 534, F2, 32) (dual of [534, 385, 33]-code) [i]Truncation
2Linear OOA(2150, 107, F2, 5, 33) (dual of [(107, 5), 385, 34]-NRT-code) [i]OOA Folding