Information on Result #638034
Linear OA(584, 96, F5, 56) (dual of [96, 12, 57]-code), using concatenation of two codes based on
- linear OA(2518, 24, F25, 18) (dual of [24, 6, 19]-code or 24-arc in PG(17,25)), using
- discarding factors / shortening the dual code based on linear OA(2518, 25, F25, 18) (dual of [25, 7, 19]-code or 25-arc in PG(17,25)), using
- Reed–Solomon code RS(7,25) [i]
- discarding factors / shortening the dual code based on linear OA(2518, 25, F25, 18) (dual of [25, 7, 19]-code or 25-arc in PG(17,25)), 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(584, 96, F5, 55) (dual of [96, 12, 56]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(583, 95, F5, 55) (dual of [95, 12, 56]-code) | [i] | Truncation | |
| 3 | Linear OA(582, 94, F5, 54) (dual of [94, 12, 55]-code) | [i] | ||
| 4 | Linear OA(581, 93, F5, 53) (dual of [93, 12, 54]-code) | [i] | ||
| 5 | Linear OA(579, 91, F5, 51) (dual of [91, 12, 52]-code) | [i] | ||
| 6 | Linear OOA(584, 48, F5, 2, 56) (dual of [(48, 2), 12, 57]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(584, 32, F5, 3, 56) (dual of [(32, 3), 12, 57]-NRT-code) | [i] | ||