Information on Result #716521

Linear OA(8151, 562, F8, 51) (dual of [562, 411, 52]-code), using construction XX applied to C1 = C([37,81]), C2 = C([31,74]), C3 = C1 + C2 = C([37,74]), and C∩ = C1 ∩ C2 = C([31,81]) based on
  1. linear OA(8118, 511, F8, 45) (dual of [511, 393, 46]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {37,38,…,81}, and designed minimum distance d ≥ |I|+1 = 46 [i]
  2. linear OA(8115, 511, F8, 44) (dual of [511, 396, 45]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {31,32,…,74}, and designed minimum distance d ≥ |I|+1 = 45 [i]
  3. linear OA(8133, 511, F8, 51) (dual of [511, 378, 52]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {31,32,…,81}, and designed minimum distance d ≥ |I|+1 = 52 [i]
  4. linear OA(8100, 511, F8, 38) (dual of [511, 411, 39]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {37,38,…,74}, and designed minimum distance d ≥ |I|+1 = 39 [i]
  5. linear OA(811, 29, F8, 6) (dual of [29, 18, 7]-code), using
  6. linear OA(87, 22, F8, 5) (dual of [22, 15, 6]-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 OOA(8151, 281, F8, 2, 51) (dual of [(281, 2), 411, 52]-NRT-code) [i]OOA Folding