Information on Result #2246248
Linear OA(593, 120, F5, 57) (dual of [120, 27, 58]-code), using 6 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(599, 127, F5, 57) (dual of [127, 28, 58]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(5101, 130, F5, 57) (dual of [130, 29, 58]-code) | [i] | ||
| 3 | Linear OA(599, 128, F5, 56) (dual of [128, 29, 57]-code) | [i] | ||
| 4 | Linear OA(5102, 132, F5, 57) (dual of [132, 30, 58]-code) | [i] | ||
| 5 | Linear OA(599, 129, F5, 55) (dual of [129, 30, 56]-code) | [i] | ||
| 6 | Linear OOA(593, 60, F5, 2, 57) (dual of [(60, 2), 27, 58]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(593, 40, F5, 3, 57) (dual of [(40, 3), 27, 58]-NRT-code) | [i] | ||