Information on Result #663003

Linear OA(5119, 1953151, F5, 15) (dual of [1953151, 1953032, 16]-code), using (u, u+v)-construction based on
  1. linear OA(510, 25, F5, 7) (dual of [25, 15, 8]-code), using
    • an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  2. linear OA(5109, 1953126, F5, 15) (dual of [1953126, 1953017, 16]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 1953126 | 518−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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

None.