Information on Result #552033
There is no linear OOA(2145, 172, F2, 2, 71) (dual of [(172, 2), 199, 72]-NRT-code), because 1 step m-reduction would yield linear OA(2144, 172, F2, 70) (dual of [172, 28, 71]-code), but
- 4 times code embedding in larger space [i] would yield linear OA(2148, 176, F2, 70) (dual of [176, 28, 71]-code), but
- adding a parity check bit [i] would yield linear OA(2149, 177, F2, 71) (dual of [177, 28, 72]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(2145, 172, F2, 3, 71) (dual of [(172, 3), 371, 72]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2145, 172, F2, 4, 71) (dual of [(172, 4), 543, 72]-NRT-code) | [i] | ||
| 3 | No linear OOA(2145, 172, F2, 5, 71) (dual of [(172, 5), 715, 72]-NRT-code) | [i] | ||
| 4 | No linear OOA(2145, 172, F2, 6, 71) (dual of [(172, 6), 887, 72]-NRT-code) | [i] | ||
| 5 | No linear OOA(2145, 172, F2, 7, 71) (dual of [(172, 7), 1059, 72]-NRT-code) | [i] | ||
| 6 | No linear OOA(2145, 172, F2, 8, 71) (dual of [(172, 8), 1231, 72]-NRT-code) | [i] | ||