Information on Result #702003

Linear OA(2167, 274, F2, 48) (dual of [274, 107, 49]-code), using construction XX applied to C1 = C([253,44]), C2 = C([1,46]), C3 = C1 + C2 = C([1,44]), and C∩ = C1 ∩ C2 = C([253,46]) based on
  1. linear OA(2157, 255, F2, 47) (dual of [255, 98, 48]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−2,−1,…,44}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  2. linear OA(2156, 255, F2, 46) (dual of [255, 99, 47]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
  3. linear OA(2165, 255, F2, 49) (dual of [255, 90, 50]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−2,−1,…,46}, and designed minimum distance d ≥ |I|+1 = 50 [i]
  4. linear OA(2148, 255, F2, 44) (dual of [255, 107, 45]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
  5. linear OA(21, 10, F2, 1) (dual of [10, 9, 2]-code), using
  6. linear OA(21, 9, F2, 1) (dual of [9, 8, 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(2168, 275, F2, 49) (dual of [275, 107, 50]-code) [i]Adding a Parity Check Bit
2Linear OOA(2167, 137, F2, 2, 48) (dual of [(137, 2), 107, 49]-NRT-code) [i]OOA Folding
3Linear OOA(2167, 91, F2, 3, 48) (dual of [(91, 3), 106, 49]-NRT-code) [i]