Information on Result #642691
Linear OA(2790, 93, F27, 85) (dual of [93, 3, 86]-code), using juxtaposition based on
- linear OA(2725, 28, F27, 25) (dual of [28, 3, 26]-code or 28-arc in PG(24,27)), using
- extended Reed–Solomon code RSe(3,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2762, 65, F27, 59) (dual of [65, 3, 60]-code), using
- juxtaposition [i] based on
- linear OA(2724, 27, F27, 24) (dual of [27, 3, 25]-code or 27-arc in PG(23,27)), using
- Reed–Solomon code RS(3,27) [i]
- linear OA(2735, 38, F27, 34) (dual of [38, 3, 35]-code), using
- extended algebraic-geometric code AGe(F,3P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OA(2724, 27, F27, 24) (dual of [27, 3, 25]-code or 27-arc in PG(23,27)), using
- juxtaposition [i] based on
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2790, 93, F27, 84) (dual of [93, 3, 85]-code) | [i] | Strength Reduction | |