Information on Result #2246254
Linear OA(587, 114, F5, 51) (dual of [114, 27, 52]-code), using 12 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(593, 124, F5, 51) (dual of [124, 31, 52]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(594, 127, F5, 51) (dual of [127, 33, 52]-code) | [i] | ||
| 3 | Linear OA(595, 130, F5, 51) (dual of [130, 35, 52]-code) | [i] | ||
| 4 | Linear OA(590, 118, F5, 51) (dual of [118, 28, 52]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OA(592, 121, F5, 51) (dual of [121, 29, 52]-code) | [i] | ||
| 6 | Linear OOA(587, 57, F5, 2, 51) (dual of [(57, 2), 27, 52]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(587, 38, F5, 3, 51) (dual of [(38, 3), 27, 52]-NRT-code) | [i] | ||