Information on Result #619609
Linear OA(12857, 2097162, F128, 17) (dual of [2097162, 2097105, 18]-code), using construction X applied to C([0,8]) ⊂ C([1,8]) based on
- linear OA(12849, 2097153, F128, 17) (dual of [2097153, 2097104, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(12848, 2097153, F128, 8) (dual of [2097153, 2097105, 9]-code), using the narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(1288, 9, F128, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,128)), using
- dual of repetition code with length 9 [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.