Information on Result #2245888
Linear OA(573, 91, F5, 43) (dual of [91, 18, 44]-code), using 1 times truncation based on linear OA(574, 92, F5, 44) (dual of [92, 18, 45]-code), using
- concatenation of two codes [i] based on
- linear OA(2514, 23, F25, 14) (dual of [23, 9, 15]-code or 23-arc in PG(13,25)), using
- discarding factors / shortening the dual code based on linear OA(2514, 25, F25, 14) (dual of [25, 11, 15]-code or 25-arc in PG(13,25)), using
- Reed–Solomon code RS(11,25) [i]
- discarding factors / shortening the dual code based on linear OA(2514, 25, F25, 14) (dual of [25, 11, 15]-code or 25-arc in PG(13,25)), using
- linear OA(52, 4, F5, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,5)), using
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- Reed–Solomon code RS(3,5) [i]
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- linear OA(2514, 23, F25, 14) (dual of [23, 9, 15]-code or 23-arc in PG(13,25)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(574, 93, F5, 43) (dual of [93, 19, 44]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(573, 45, F5, 2, 43) (dual of [(45, 2), 17, 44]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(573, 30, F5, 3, 43) (dual of [(30, 3), 17, 44]-NRT-code) | [i] | ||