Information on Result #709738
Linear OA(513, 124, F5, 6) (dual of [124, 111, 7]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {26,27,…,31}, and designed minimum distance d ≥ |I|+1 = 7
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 OOA(513, 67, F5, 2, 6) (dual of [(67, 2), 121, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(513, 67, F5, 3, 6) (dual of [(67, 3), 188, 7]-NRT-code) | [i] | ||
| 3 | Digital (7, 13, 67)-net over F5 | [i] | ||
| 4 | Linear OA(519, 136, F5, 7) (dual of [136, 117, 8]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(517, 131, F5, 7) (dual of [131, 114, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(5149, 1953192, F5, 19) (dual of [1953192, 1953043, 20]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 7 | Linear OA(5140, 1953192, F5, 18) (dual of [1953192, 1953052, 19]-code) | [i] | ||
| 8 | Linear OOA(513, 62, F5, 2, 6) (dual of [(62, 2), 111, 7]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(513, 41, F5, 3, 6) (dual of [(41, 3), 110, 7]-NRT-code) | [i] | ||