Information on Result #638135
Linear OA(592, 96, F5, 74) (dual of [96, 4, 75]-code), using concatenation of two codes based on
- linear OA(2514, 16, F25, 14) (dual of [16, 2, 15]-code or 16-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(54, 6, F5, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
- extended Reed–Solomon code RSe(2,5) [i]
- Simplex code S(2,5) [i]
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(592, 96, F5, 73) (dual of [96, 4, 74]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(590, 94, F5, 72) (dual of [94, 4, 73]-code) | [i] | Truncation | |
| 3 | Linear OA(589, 93, F5, 71) (dual of [93, 4, 72]-code) | [i] | ||
| 4 | Linear OA(588, 92, F5, 70) (dual of [92, 4, 71]-code) | [i] | ||
| 5 | Linear OA(587, 91, F5, 69) (dual of [91, 4, 70]-code) | [i] | ||
| 6 | Linear OOA(592, 48, F5, 2, 74) (dual of [(48, 2), 4, 75]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(592, 32, F5, 3, 74) (dual of [(32, 3), 4, 75]-NRT-code) | [i] | ||