Information on Result #638014
Linear OA(572, 84, F5, 47) (dual of [84, 12, 48]-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(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
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(571, 83, F5, 46) (dual of [83, 12, 47]-code) | [i] | Truncation | |
| 2 | Linear OA(570, 82, F5, 45) (dual of [82, 12, 46]-code) | [i] | ||
| 3 | Linear OA(569, 81, F5, 44) (dual of [81, 12, 45]-code) | [i] | ||
| 4 | Linear OOA(572, 42, F5, 2, 47) (dual of [(42, 2), 12, 48]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(572, 28, F5, 3, 47) (dual of [(28, 3), 12, 48]-NRT-code) | [i] | ||