Information on Result #670290

Linear OA(8165, 6712, F81, 25) (dual of [6712, 6647, 26]-code), using (u, u+v)-construction based on
  1. linear OA(8116, 150, F81, 12) (dual of [150, 134, 13]-code), using
  2. linear OA(8149, 6562, F81, 25) (dual of [6562, 6513, 26]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(8165, 3356, F81, 2, 25) (dual of [(3356, 2), 6647, 26]-NRT-code) [i]OOA Folding
2Linear OOA(8165, 2237, F81, 3, 25) (dual of [(2237, 3), 6646, 26]-NRT-code) [i]