Information on Result #687836

Linear OA(8151, 578, F8, 48) (dual of [578, 427, 49]-code), using construction X applied to C([0,24]) ⊂ C([0,16]) based on
  1. linear OA(8127, 513, F8, 49) (dual of [513, 386, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
  2. linear OA(885, 513, F8, 33) (dual of [513, 428, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  3. linear OA(824, 65, F8, 14) (dual of [65, 41, 15]-code), using
    • the BCH-code C(I) with length 65 | 84−1, defining interval I = {13,16,19,…,52}, and designed minimum distance d ≥ |I|+1 = 15 [i]

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, 289, F8, 2, 48) (dual of [(289, 2), 427, 49]-NRT-code) [i]OOA Folding