Information on Result #630646
Linear OA(2245, 455, F2, 61) (dual of [455, 210, 62]-code), using concatenation of two codes based on
- linear OA(6430, 65, F64, 30) (dual of [65, 35, 31]-code or 65-arc in PG(29,64)), using
- extended Reed–Solomon code RSe(35,64) [i]
- linear OA(21, 7, F2, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 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(2245, 455, F2, 60) (dual of [455, 210, 61]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2246, 456, F2, 61) (dual of [456, 210, 62]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2247, 457, F2, 61) (dual of [457, 210, 62]-code) | [i] | ||
| 4 | Linear OA(2248, 458, F2, 61) (dual of [458, 210, 62]-code) | [i] | ||
| 5 | Linear OA(2249, 459, F2, 61) (dual of [459, 210, 62]-code) | [i] | ||
| 6 | Linear OA(2250, 460, F2, 61) (dual of [460, 210, 62]-code) | [i] | ||
| 7 | Linear OA(2251, 461, F2, 61) (dual of [461, 210, 62]-code) | [i] | ||
| 8 | Linear OA(2252, 462, F2, 61) (dual of [462, 210, 62]-code) | [i] | ||
| 9 | Linear OA(2244, 454, F2, 60) (dual of [454, 210, 61]-code) | [i] | Truncation | |
| 10 | Linear OA(2250, 464, F2, 60) (dual of [464, 214, 61]-code) | [i] | Construction X with Varšamov Bound | |
| 11 | Linear OA(2251, 466, F2, 60) (dual of [466, 215, 61]-code) | [i] | ||
| 12 | Linear OOA(2245, 227, F2, 2, 61) (dual of [(227, 2), 209, 62]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(2245, 151, F2, 3, 61) (dual of [(151, 3), 208, 62]-NRT-code) | [i] | ||