Information on Result #613792
Linear OA(549, 126, F5, 21) (dual of [126, 77, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound)
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(551, 137, F5, 21) (dual of [137, 86, 22]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(552, 147, F5, 21) (dual of [147, 95, 22]-code) | [i] | ||
| 3 | Linear OA(558, 136, F5, 21) (dual of [136, 78, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(556, 145, F5, 21) (dual of [145, 89, 22]-code) | [i] | ✔ | |
| 5 | Linear OOA(549, 63, F5, 2, 21) (dual of [(63, 2), 77, 22]-NRT-code) | [i] | OOA Folding | |