Information on Result #702588

Linear OA(2238, 551, F2, 54) (dual of [551, 313, 55]-code), using construction XX applied to C1 = C([459,510]), C2 = C([465,2]), C3 = C1 + C2 = C([465,510]), and C∩ = C1 ∩ C2 = C([459,2]) based on
  1. linear OA(2216, 511, F2, 52) (dual of [511, 295, 53]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−52,−51,…,−1}, and designed minimum distance d ≥ |I|+1 = 53 [i]
  2. linear OA(2208, 511, F2, 49) (dual of [511, 303, 50]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−46,−45,…,2}, and designed minimum distance d ≥ |I|+1 = 50 [i]
  3. linear OA(2226, 511, F2, 55) (dual of [511, 285, 56]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−52,−51,…,2}, and designed minimum distance d ≥ |I|+1 = 56 [i]
  4. linear OA(2198, 511, F2, 46) (dual of [511, 313, 47]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−46,−45,…,−1}, and designed minimum distance d ≥ |I|+1 = 47 [i]
  5. linear OA(211, 29, F2, 5) (dual of [29, 18, 6]-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(2239, 552, F2, 55) (dual of [552, 313, 56]-code) [i]Adding a Parity Check Bit