Information on Result #2267290
Linear OA(3184, 412, F3, 51) (dual of [412, 228, 52]-code), using 2 times code embedding in larger space based on linear OA(3182, 410, F3, 51) (dual of [410, 228, 52]-code), using
- concatenation of two codes [i] based on
- linear OA(8125, 82, F81, 25) (dual of [82, 57, 26]-code or 82-arc in PG(24,81)), using
- extended Reed–Solomon code RSe(57,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(31, 5, F3, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(8125, 82, F81, 25) (dual of [82, 57, 26]-code or 82-arc in PG(24,81)), using
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.