Information on Result #702020

Linear OA(2182, 273, F2, 55) (dual of [273, 91, 56]-code), using construction XX applied to C1 = C([253,50]), C2 = C([1,52]), C3 = C1 + C2 = C([1,50]), and C∩ = C1 ∩ C2 = C([253,52]) based on
  1. linear OA(2173, 255, F2, 53) (dual of [255, 82, 54]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−2,−1,…,50}, and designed minimum distance d ≥ |I|+1 = 54 [i]
  2. linear OA(2168, 255, F2, 52) (dual of [255, 87, 53]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
  3. linear OA(2177, 255, F2, 55) (dual of [255, 78, 56]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−2,−1,…,52}, and designed minimum distance d ≥ |I|+1 = 56 [i]
  4. linear OA(2164, 255, F2, 50) (dual of [255, 91, 51]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
  5. linear OA(24, 13, F2, 2) (dual of [13, 9, 3]-code), using
  6. linear OA(21, 5, F2, 1) (dual of [5, 4, 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(2182, 273, F2, 54) (dual of [273, 91, 55]-code) [i]Strength Reduction
2Linear OA(2181, 272, F2, 54) (dual of [272, 91, 55]-code) [i]Truncation
3Linear OOA(2182, 91, F2, 3, 55) (dual of [(91, 3), 91, 56]-NRT-code) [i]OOA Folding