Information on Result #2246251
Linear OA(590, 117, F5, 54) (dual of [117, 27, 55]-code), using 9 times truncation based on linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,31], and minimum distance d ≥ |{−31,−30,…,31}|+1 = 64 (BCH-bound) [i]
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(597, 127, F5, 54) (dual of [127, 30, 55]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(595, 123, F5, 54) (dual of [123, 28, 55]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(596, 125, F5, 54) (dual of [125, 29, 55]-code) | [i] | ||
| 4 | Linear OA(596, 126, F5, 53) (dual of [126, 30, 54]-code) | [i] | ||
| 5 | Linear OOA(590, 58, F5, 2, 54) (dual of [(58, 2), 26, 55]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(590, 39, F5, 3, 54) (dual of [(39, 3), 27, 55]-NRT-code) | [i] | ||