Information on Result #671299

Linear OA(12870, 2097535, F128, 19) (dual of [2097535, 2097465, 20]-code), using (u, u+v)-construction based on
  1. linear OA(12815, 382, F128, 9) (dual of [382, 367, 10]-code), using
    • an extension Ce(8) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OA(12855, 2097153, F128, 19) (dual of [2097153, 2097098, 20]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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.