Information on Result #701976

Linear OA(2174, 304, F2, 47) (dual of [304, 130, 48]-code), using construction XX applied to C1 = C([213,0]), C2 = C([219,4]), C3 = C1 + C2 = C([219,0]), and C∩ = C1 ∩ C2 = C([213,4]) based on
  1. linear OA(2141, 255, F2, 43) (dual of [255, 114, 44]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−42,−41,…,0}, and designed minimum distance d ≥ |I|+1 = 44 [i]
  2. linear OA(2141, 255, F2, 41) (dual of [255, 114, 42]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−36,−35,…,4}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  3. 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 = {−42,−41,…,4}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  4. linear OA(2125, 255, F2, 37) (dual of [255, 130, 38]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−36,−35,…,0}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  5. linear OA(211, 27, F2, 5) (dual of [27, 16, 6]-code), using
  6. linear OA(26, 22, F2, 3) (dual of [22, 16, 4]-code or 22-cap in PG(5,2)), 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(2173, 303, F2, 46) (dual of [303, 130, 47]-code) [i]Truncation
2Linear OOA(2174, 152, F2, 2, 47) (dual of [(152, 2), 130, 48]-NRT-code) [i]OOA Folding
3Linear OOA(2174, 101, F2, 3, 47) (dual of [(101, 3), 129, 48]-NRT-code) [i]