Information on Result #613582
Linear OA(521, 3125, F5, 6) (dual of [3125, 3104, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(521, 1727, F5, 2, 6) (dual of [(1727, 2), 3433, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(521, 1727, F5, 3, 6) (dual of [(1727, 3), 5160, 7]-NRT-code) | [i] | ||
| 3 | Digital (15, 21, 1727)-net over F5 | [i] | ||
| 4 | Linear OA(526, 3130, F5, 7) (dual of [3130, 3104, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(522, 3131, F5, 6) (dual of [3131, 3109, 7]-code) | [i] | ✔ | |
| 6 | Linear OA(532, 3136, F5, 8) (dual of [3136, 3104, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(539, 3143, F5, 9) (dual of [3143, 3104, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(545, 3149, F5, 10) (dual of [3149, 3104, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(547, 3151, F5, 11) (dual of [3151, 3104, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(553, 3153, F5, 12) (dual of [3153, 3100, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(547, 3148, F5, 11) (dual of [3148, 3101, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(546, 3146, F5, 11) (dual of [3146, 3100, 12]-code) | [i] | ✔ | |
| 13 | Linear OA(541, 3146, F5, 9) (dual of [3146, 3105, 10]-code) | [i] | ✔ | |
| 14 | Linear OA(528, 3133, F5, 7) (dual of [3133, 3105, 8]-code) | [i] | ✔ | |
| 15 | Linear OA(522, 3132, F5, 6) (dual of [3132, 3110, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(532, 3137, F5, 8) (dual of [3137, 3105, 9]-code) | [i] | ✔ | |
| 17 | Linear OOA(521, 1562, F5, 2, 6) (dual of [(1562, 2), 3103, 7]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(521, 1041, F5, 3, 6) (dual of [(1041, 3), 3102, 7]-NRT-code) | [i] | ||
| 19 | Linear OOA(521, 1041, F5, 6, 6) (dual of [(1041, 6), 6225, 7]-NRT-code) | [i] | OA Folding and Stacking | |