Information on Result #669338

Linear OA(4917, 4804, F49, 7) (dual of [4804, 4787, 8]-code), using (u, u+v)-construction based on
  1. linear OA(494, 2402, F49, 3) (dual of [2402, 2398, 4]-code or 2402-cap in PG(3,49)), using
  2. linear OA(4913, 2402, F49, 7) (dual of [2402, 2389, 8]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(4917, 2402, F49, 2, 7) (dual of [(2402, 2), 4787, 8]-NRT-code) [i]OOA Folding
2Linear OOA(4917, 1601, F49, 3, 7) (dual of [(1601, 3), 4786, 8]-NRT-code) [i]