Information on Result #633054
Linear OA(3186, 410, F3, 53) (dual of [410, 224, 54]-code), using concatenation of two codes based on
- linear OA(8126, 82, F81, 26) (dual of [82, 56, 27]-code or 82-arc in PG(25,81)), using
- extended Reed–Solomon code RSe(56,81) [i]
- linear OA(31, 5, F3, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3186, 410, F3, 52) (dual of [410, 224, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3187, 411, F3, 53) (dual of [411, 224, 54]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3188, 412, F3, 53) (dual of [412, 224, 54]-code) | [i] | ||
| 4 | Linear OA(3189, 413, F3, 53) (dual of [413, 224, 54]-code) | [i] | ||
| 5 | Linear OA(3190, 414, F3, 53) (dual of [414, 224, 54]-code) | [i] | ||
| 6 | Linear OA(3191, 415, F3, 53) (dual of [415, 224, 54]-code) | [i] | ||
| 7 | Linear OA(3185, 409, F3, 52) (dual of [409, 224, 53]-code) | [i] | Truncation | |
| 8 | Linear OOA(3186, 205, F3, 2, 53) (dual of [(205, 2), 224, 54]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(3186, 136, F3, 3, 53) (dual of [(136, 3), 222, 54]-NRT-code) | [i] | ||