Information on Result #639118
Linear OA(8137, 195, F8, 73) (dual of [195, 58, 74]-code), using concatenation of two codes based on
- linear OA(6436, 65, F64, 36) (dual of [65, 29, 37]-code or 65-arc in PG(35,64)), using
- extended Reed–Solomon code RSe(29,64) [i]
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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(8137, 195, F8, 72) (dual of [195, 58, 73]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8138, 196, F8, 73) (dual of [196, 58, 74]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(8139, 197, F8, 73) (dual of [197, 58, 74]-code) | [i] | ||
| 4 | Linear OA(8140, 198, F8, 73) (dual of [198, 58, 74]-code) | [i] | ||
| 5 | Linear OA(8136, 194, F8, 72) (dual of [194, 58, 73]-code) | [i] | Truncation | |
| 6 | Linear OOA(8137, 97, F8, 2, 73) (dual of [(97, 2), 57, 74]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8137, 65, F8, 3, 73) (dual of [(65, 3), 58, 74]-NRT-code) | [i] | ||