Information on Result #663040

Linear OA(599, 1953139, F5, 13) (dual of [1953139, 1953040, 14]-code), using (u, u+v)-construction based on
  1. linear OA(58, 13, F5, 6) (dual of [13, 5, 7]-code), using
    • an extension Ce(5) of the narrow-sense BCH-code C(I) with length 12 | 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
    • the narrow-sense BCH-code C(I) with length 13 | 54−1, defining interval I = [1,3], and minimum distance d ≥ |{−5,−3,−1,…,5}|+1 = 7 (BCH-bound) [i]
  2. linear OA(591, 1953126, F5, 13) (dual of [1953126, 1953035, 14]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 1953126 | 518−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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.