Information on Result #638099
Linear OA(593, 105, F5, 63) (dual of [105, 12, 64]-code), using concatenation of two codes based on
- linear OA(2515, 21, F25, 15) (dual of [21, 6, 16]-code or 21-arc in PG(14,25)), using
- discarding factors / shortening the dual code based on linear OA(2515, 25, F25, 15) (dual of [25, 10, 16]-code or 25-arc in PG(14,25)), using
- Reed–Solomon code RS(10,25) [i]
- discarding factors / shortening the dual code based on linear OA(2515, 25, F25, 15) (dual of [25, 10, 16]-code or 25-arc in PG(14,25)), using
- linear OA(53, 5, F5, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
- Reed–Solomon code RS(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(593, 105, F5, 62) (dual of [105, 12, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(593, 105, F5, 61) (dual of [105, 12, 62]-code) | [i] | ||
| 3 | Linear OA(591, 103, F5, 61) (dual of [103, 12, 62]-code) | [i] | Truncation | |
| 4 | Linear OA(590, 102, F5, 60) (dual of [102, 12, 61]-code) | [i] | ||
| 5 | Linear OA(589, 101, F5, 59) (dual of [101, 12, 60]-code) | [i] | ||
| 6 | Linear OA(587, 99, F5, 57) (dual of [99, 12, 58]-code) | [i] | ||
| 7 | Linear OOA(593, 35, F5, 3, 63) (dual of [(35, 3), 12, 64]-NRT-code) | [i] | OOA Folding | |