Information on Result #738167

Linear OA(775, 84, F7, 52) (dual of [84, 9, 53]-code), using juxtaposition based on
  1. linear OA(725, 34, F7, 18) (dual of [34, 9, 19]-code), using
  2. linear OA(741, 50, F7, 33) (dual of [50, 9, 34]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 50 | 74−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(775, 42, F7, 2, 52) (dual of [(42, 2), 9, 53]-NRT-code) [i]OOA Folding
2Linear OOA(775, 28, F7, 3, 52) (dual of [(28, 3), 9, 53]-NRT-code) [i]