Information on Result #702352

Linear OA(2175, 551, F2, 38) (dual of [551, 376, 39]-code), using construction XX applied to C1 = C([475,510]), C2 = C([481,2]), C3 = C1 + C2 = C([481,510]), and C∩ = C1 ∩ C2 = C([475,2]) based on
  1. linear OA(2153, 511, F2, 36) (dual of [511, 358, 37]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−36,−35,…,−1}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. linear OA(2145, 511, F2, 33) (dual of [511, 366, 34]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−30,−29,…,2}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  3. linear OA(2163, 511, F2, 39) (dual of [511, 348, 40]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−36,−35,…,2}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  4. linear OA(2135, 511, F2, 30) (dual of [511, 376, 31]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−30,−29,…,−1}, and designed minimum distance d ≥ |I|+1 = 31 [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(2176, 552, F2, 39) (dual of [552, 376, 40]-code) [i]Adding a Parity Check Bit