Information on Result #2174739
There is no linear OA(2122, 127, F2, 64) (dual of [127, 5, 65]-code), because 1 times code embedding in larger space would yield linear OA(2123, 128, F2, 64) (dual of [128, 5, 65]-code), but
Mode: Bound (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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(2122, 127, F2, 2, 64) (dual of [(127, 2), 132, 65]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2122, 127, F2, 3, 64) (dual of [(127, 3), 259, 65]-NRT-code) | [i] | ||
| 3 | No linear OOA(2122, 127, F2, 4, 64) (dual of [(127, 4), 386, 65]-NRT-code) | [i] | ||
| 4 | No linear OOA(2122, 127, F2, 5, 64) (dual of [(127, 5), 513, 65]-NRT-code) | [i] | ||
| 5 | No linear OOA(2122, 127, F2, 6, 64) (dual of [(127, 6), 640, 65]-NRT-code) | [i] | ||
| 6 | No linear OOA(2122, 127, F2, 7, 64) (dual of [(127, 7), 767, 65]-NRT-code) | [i] | ||
| 7 | No linear OOA(2122, 127, F2, 8, 64) (dual of [(127, 8), 894, 65]-NRT-code) | [i] | ||