Information on Result #641301

Linear OA(770, 74, F7, 58) (dual of [74, 4, 59]-code), using juxtaposition based on
  1. linear OA(720, 24, F7, 16) (dual of [24, 4, 17]-code), using
    • contraction [i] based on linear OA(768, 72, F7, 50) (dual of [72, 4, 51]-code), using the expurgated narrow-sense BCH-code C(I) with length 72 | 76−1, defining interval I = [0,47], and minimum distance d ≥ |{−2,−1,…,47}|+1 = 51 (BCH-bound) [i]
  2. linear OA(746, 50, F7, 41) (dual of [50, 4, 42]-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.

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(770, 37, F7, 2, 58) (dual of [(37, 2), 4, 59]-NRT-code) [i]OOA Folding