Information on Result #701850

Linear OA(2111, 274, F2, 28) (dual of [274, 163, 29]-code), using construction XX applied to C1 = C([253,24]), C2 = C([1,26]), C3 = C1 + C2 = C([1,24]), and C∩ = C1 ∩ C2 = C([253,26]) based on
  1. linear OA(2101, 255, F2, 27) (dual of [255, 154, 28]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−2,−1,…,24}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(2100, 255, F2, 26) (dual of [255, 155, 27]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(2109, 255, F2, 29) (dual of [255, 146, 30]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−2,−1,…,26}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  4. linear OA(292, 255, F2, 24) (dual of [255, 163, 25]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(2112, 275, F2, 29) (dual of [275, 163, 30]-code) [i]Adding a Parity Check Bit
2Linear OOA(2111, 137, F2, 2, 28) (dual of [(137, 2), 163, 29]-NRT-code) [i]OOA Folding
3Linear OOA(2111, 91, F2, 3, 28) (dual of [(91, 3), 162, 29]-NRT-code) [i]