Information on Result #642702
Linear OA(32110, 115, F32, 100) (dual of [115, 5, 101]-code), using juxtaposition based on
- linear OA(3222, 27, F32, 22) (dual of [27, 5, 23]-code or 27-arc in PG(21,32)), using
- discarding factors / shortening the dual code based on linear OA(3222, 32, F32, 22) (dual of [32, 10, 23]-code or 32-arc in PG(21,32)), using
- Reed–Solomon code RS(10,32) [i]
- discarding factors / shortening the dual code based on linear OA(3222, 32, F32, 22) (dual of [32, 10, 23]-code or 32-arc in PG(21,32)), using
- linear OA(3283, 88, F32, 77) (dual of [88, 5, 78]-code), using
- repeating each code word 2 times [i] based on linear OA(3239, 44, F32, 38) (dual of [44, 5, 39]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- repeating each code word 2 times [i] based on linear OA(3239, 44, F32, 38) (dual of [44, 5, 39]-code), 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(32108, 113, F32, 98) (dual of [113, 5, 99]-code) | [i] | Truncation | |
| 2 | Linear OA(32106, 111, F32, 96) (dual of [111, 5, 97]-code) | [i] | ||