Information on Result #702538

Linear OA(2235, 561, F2, 52) (dual of [561, 326, 53]-code), using construction XX applied to C1 = C([461,510]), C2 = C([469,2]), C3 = C1 + C2 = C([469,510]), and C∩ = C1 ∩ C2 = C([461,2]) based on
  1. linear OA(2207, 511, F2, 50) (dual of [511, 304, 51]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−50,−49,…,−1}, and designed minimum distance d ≥ |I|+1 = 51 [i]
  2. linear OA(2190, 511, F2, 45) (dual of [511, 321, 46]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−42,−41,…,2}, and designed minimum distance d ≥ |I|+1 = 46 [i]
  3. linear OA(2217, 511, F2, 53) (dual of [511, 294, 54]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−50,−49,…,2}, and designed minimum distance d ≥ |I|+1 = 54 [i]
  4. linear OA(2180, 511, F2, 42) (dual of [511, 331, 43]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−42,−41,…,−1}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  5. linear OA(217, 39, F2, 7) (dual of [39, 22, 8]-code), using
  6. linear OA(21, 11, F2, 1) (dual of [11, 10, 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(2236, 562, F2, 53) (dual of [562, 326, 54]-code) [i]Adding a Parity Check Bit
2Linear OOA(2235, 187, F2, 3, 52) (dual of [(187, 3), 326, 53]-NRT-code) [i]OOA Folding