Information on Result #2244753
Linear OA(558, 61, F5, 48) (dual of [61, 3, 49]-code), using 1 times truncation based on linear OA(559, 62, F5, 49) (dual of [62, 3, 50]-code), using
- repeating each code word 2 times [i] based on linear OA(528, 31, F5, 24) (dual of [31, 3, 25]-code), using
- Simplex code S(3,5) [i]
- the expurgated narrow-sense BCH-code C(I) with length 31 | 53−1, defining interval I = [0,16], and minimum distance d ≥ |{−7,−6,…,16}|+1 = 25 (BCH-bound) [i]
- the expurgated narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [0,46], and minimum distance d ≥ |{−2,−1,…,46}|+1 = 50 (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 OOA(558, 30, F5, 2, 48) (dual of [(30, 2), 2, 49]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(558, 20, F5, 3, 48) (dual of [(20, 3), 2, 49]-NRT-code) | [i] | ||