Information on Result #613578
Linear OA(58, 13, F5, 6) (dual of [13, 5, 7]-code), using an extension Ce(5) of the narrow-sense BCH-code C(I) with length 12 | 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(549, 639, F5, 13) (dual of [639, 590, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(559, 3139, F5, 13) (dual of [3139, 3080, 14]-code) | [i] | ||
| 3 | Linear OA(569, 15639, F5, 13) (dual of [15639, 15570, 14]-code) | [i] | ||
| 4 | Linear OA(579, 78139, F5, 13) (dual of [78139, 78060, 14]-code) | [i] | ||
| 5 | Linear OA(589, 390639, F5, 13) (dual of [390639, 390550, 14]-code) | [i] | ||
| 6 | Linear OA(599, 1953139, F5, 13) (dual of [1953139, 1953040, 14]-code) | [i] | ||
| 7 | Linear OA(563, 15638, F5, 12) (dual of [15638, 15575, 13]-code) | [i] | ||
| 8 | Linear OA(572, 78138, F5, 12) (dual of [78138, 78066, 13]-code) | [i] | ||
| 9 | Linear OA(581, 390638, F5, 12) (dual of [390638, 390557, 13]-code) | [i] | ||
| 10 | Linear OA(590, 1953138, F5, 12) (dual of [1953138, 1953048, 13]-code) | [i] | ||
| 11 | Linear OA(534, 38, F5, 26) (dual of [38, 4, 27]-code) | [i] | Juxtaposition | |