Information on Result #2247257
Linear OA(5120, 15624, F5, 25) (dual of [15624, 15504, 26]-code), using 1 times truncation based on linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(5135, 15643, F5, 25) (dual of [15643, 15508, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5136, 15649, F5, 25) (dual of [15649, 15513, 26]-code) | [i] | ||
| 3 | Linear OA(5139, 15655, F5, 25) (dual of [15655, 15516, 26]-code) | [i] | ||
| 4 | Linear OOA(5120, 9729, F5, 2, 25) (dual of [(9729, 2), 19338, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(5120, 9729, F5, 3, 25) (dual of [(9729, 3), 29067, 26]-NRT-code) | [i] | ||
| 6 | Digital (95, 120, 9729)-net over F5 | [i] | ||
| 7 | Linear OOA(5120, 7812, F5, 2, 25) (dual of [(7812, 2), 15504, 26]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(5120, 5208, F5, 3, 25) (dual of [(5208, 3), 15504, 26]-NRT-code) | [i] | ||
| 9 | Linear OOA(5120, 1301, F5, 25, 25) (dual of [(1301, 25), 32405, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |