Information on Result #2245969
Linear OA(536, 1953124, F5, 5) (dual of [1953124, 1953088, 6]-code), using 1 times truncation based on linear OA(537, 1953125, F5, 6) (dual of [1953125, 1953088, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(538, 1953130, F5, 5) (dual of [1953130, 1953092, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(539, 1953155, F5, 5) (dual of [1953155, 1953116, 6]-code) | [i] | ||
| 3 | Linear OOA(536, 1953124, F5, 2, 5) (dual of [(1953124, 2), 3906212, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(536, 1953124, F5, 3, 5) (dual of [(1953124, 3), 5859336, 6]-NRT-code) | [i] | ||
| 5 | Digital (31, 36, 1953124)-net over F5 | [i] | ||
| 6 | Linear OA(539, 1953136, F5, 5) (dual of [1953136, 1953097, 6]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OOA(536, 976562, F5, 2, 5) (dual of [(976562, 2), 1953088, 6]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(536, 976561, F5, 3, 5) (dual of [(976561, 3), 2929647, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 9 | Linear OOA(536, 976561, F5, 5, 5) (dual of [(976561, 5), 4882769, 6]-NRT-code) | [i] | ||