Information on Result #613617
Linear OA(564, 1953125, F5, 9) (dual of [1953125, 1953061, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
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(568, 1953131, F5, 9) (dual of [1953131, 1953063, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(569, 1953136, F5, 9) (dual of [1953136, 1953067, 10]-code) | [i] | ||
| 3 | Linear OA(570, 1953145, F5, 9) (dual of [1953145, 1953075, 10]-code) | [i] | ||
| 4 | Linear OOA(564, 1650394, F5, 2, 9) (dual of [(1650394, 2), 3300724, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(564, 1650394, F5, 3, 9) (dual of [(1650394, 3), 4951118, 10]-NRT-code) | [i] | ||
| 6 | Digital (55, 64, 1650394)-net over F5 | [i] | ||
| 7 | Linear OA(574, 1953135, F5, 11) (dual of [1953135, 1953061, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(564, 1953134, F5, 9) (dual of [1953134, 1953070, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(585, 1953146, F5, 12) (dual of [1953146, 1953061, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(565, 1953144, F5, 9) (dual of [1953144, 1953079, 10]-code) | [i] | ✔ | |
| 11 | Linear OA(595, 1953151, F5, 13) (dual of [1953151, 1953056, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(596, 1953157, F5, 13) (dual of [1953157, 1953061, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(567, 1953155, F5, 9) (dual of [1953155, 1953088, 10]-code) | [i] | ✔ | |
| 14 | Linear OA(5108, 1953169, F5, 14) (dual of [1953169, 1953061, 15]-code) | [i] | ✔ | |
| 15 | Linear OA(5119, 1953177, F5, 15) (dual of [1953177, 1953058, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(5107, 1953168, F5, 14) (dual of [1953168, 1953061, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(5119, 1953180, F5, 15) (dual of [1953180, 1953061, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(5118, 1953179, F5, 15) (dual of [1953179, 1953061, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(5107, 1953161, F5, 14) (dual of [1953161, 1953054, 15]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(565, 1953136, F5, 9) (dual of [1953136, 1953071, 10]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(565, 1953145, F5, 9) (dual of [1953145, 1953080, 10]-code) | [i] | ✔ | |