Information on Result #638091
Linear OA(580, 90, F5, 55) (dual of [90, 10, 56]-code), using concatenation of two codes based on
- linear OA(2513, 18, F25, 13) (dual of [18, 5, 14]-code or 18-arc in PG(12,25)), using
- discarding factors / shortening the dual code based on linear OA(2513, 25, F25, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,25)), using
- Reed–Solomon code RS(12,25) [i]
- discarding factors / shortening the dual code based on linear OA(2513, 25, F25, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,25)), 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(580, 90, F5, 54) (dual of [90, 10, 55]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(579, 89, F5, 54) (dual of [89, 10, 55]-code) | [i] | Truncation | |
| 3 | Linear OOA(580, 45, F5, 2, 55) (dual of [(45, 2), 10, 56]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(580, 30, F5, 3, 55) (dual of [(30, 3), 10, 56]-NRT-code) | [i] | ||