Information on Result #642723
Linear OA(32109, 113, F32, 101) (dual of [113, 4, 102]-code), using juxtaposition based on
- linear OA(3221, 25, F32, 21) (dual of [25, 4, 22]-code or 25-arc in PG(20,32)), using
- discarding factors / shortening the dual code based on linear OA(3221, 32, F32, 21) (dual of [32, 11, 22]-code or 32-arc in PG(20,32)), using
- Reed–Solomon code RS(11,32) [i]
- discarding factors / shortening the dual code based on linear OA(3221, 32, F32, 21) (dual of [32, 11, 22]-code or 32-arc in PG(20,32)), using
- linear OA(3284, 88, F32, 79) (dual of [88, 4, 80]-code), using
- repeating each code word 2 times [i] based on linear OA(3240, 44, F32, 39) (dual of [44, 4, 40]-code), using
- extended algebraic-geometric code AGe(F,4P) [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(3240, 44, F32, 39) (dual of [44, 4, 40]-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(32109, 113, F32, 100) (dual of [113, 4, 101]-code) | [i] | Strength Reduction | |