Information on Result #638000
Linear OA(578, 100, F5, 44) (dual of [100, 22, 45]-code), using concatenation of two codes based on
- linear OA(2514, 25, F25, 14) (dual of [25, 11, 15]-code or 25-arc in PG(13,25)), using
- Reed–Solomon code RS(11,25) [i]
- 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, 100, F5, 43) (dual of [100, 22, 44]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(577, 99, F5, 43) (dual of [99, 22, 44]-code) | [i] | Truncation | |
| 3 | Linear OA(576, 98, F5, 42) (dual of [98, 22, 43]-code) | [i] | ||
| 4 | Linear OA(575, 97, F5, 41) (dual of [97, 22, 42]-code) | [i] | ||
| 5 | Linear OA(573, 95, F5, 39) (dual of [95, 22, 40]-code) | [i] | ||
| 6 | Linear OOA(578, 50, F5, 2, 44) (dual of [(50, 2), 22, 45]-NRT-code) | [i] | OOA Folding | |