Information on Result #2246253
Linear OA(588, 115, F5, 52) (dual of [115, 27, 53]-code), using 11 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(592, 120, F5, 52) (dual of [120, 28, 53]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(593, 122, F5, 52) (dual of [122, 29, 53]-code) | [i] | ||
| 3 | Linear OA(594, 124, F5, 52) (dual of [124, 30, 53]-code) | [i] | ||
| 4 | Linear OOA(588, 57, F5, 2, 52) (dual of [(57, 2), 26, 53]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(588, 38, F5, 3, 52) (dual of [(38, 3), 26, 53]-NRT-code) | [i] | ||