Information on Result #638011
Linear OA(578, 96, F5, 47) (dual of [96, 18, 48]-code), using concatenation of two codes based on
- linear OA(2515, 24, F25, 15) (dual of [24, 9, 16]-code or 24-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(578, 96, F5, 46) (dual of [96, 18, 47]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(577, 95, F5, 46) (dual of [95, 18, 47]-code) | [i] | Truncation | |
| 3 | Linear OA(576, 94, F5, 45) (dual of [94, 18, 46]-code) | [i] | ||
| 4 | Linear OA(575, 93, F5, 44) (dual of [93, 18, 45]-code) | [i] | ||
| 5 | Linear OA(573, 91, F5, 42) (dual of [91, 18, 43]-code) | [i] | ||
| 6 | Linear OOA(578, 48, F5, 2, 47) (dual of [(48, 2), 18, 48]-NRT-code) | [i] | OOA Folding | |