Information on Result #665282

Linear OA(1660, 131159, F16, 13) (dual of [131159, 131099, 14]-code), using (u, u+v)-construction based on
  1. linear OA(1610, 85, F16, 6) (dual of [85, 75, 7]-code), using
    • the BCH-code C(I) with length 85 | 162−1, defining interval I = {1,4,7,…,16}, and designed minimum distance d ≥ |I|+1 = 7 [i]
  2. linear OA(1650, 131074, F16, 13) (dual of [131074, 131024, 14]-code), using
    • trace code [i] based on linear OA(25625, 65537, F256, 13) (dual of [65537, 65512, 14]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, 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.