Information on Result #552659
There is no linear OOA(2170, 193, F2, 2, 83) (dual of [(193, 2), 216, 84]-NRT-code), because 1 step m-reduction would yield linear OA(2169, 193, F2, 82) (dual of [193, 24, 83]-code), but
- 3 times code embedding in larger space [i] would yield linear OA(2172, 196, F2, 82) (dual of [196, 24, 83]-code), but
- adding a parity check bit [i] would yield linear OA(2173, 197, F2, 83) (dual of [197, 24, 84]-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(2170, 193, F2, 3, 83) (dual of [(193, 3), 409, 84]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2170, 193, F2, 4, 83) (dual of [(193, 4), 602, 84]-NRT-code) | [i] | ||
| 3 | No linear OOA(2170, 193, F2, 5, 83) (dual of [(193, 5), 795, 84]-NRT-code) | [i] | ||
| 4 | No linear OOA(2170, 193, F2, 6, 83) (dual of [(193, 6), 988, 84]-NRT-code) | [i] | ||
| 5 | No linear OOA(2170, 193, F2, 7, 83) (dual of [(193, 7), 1181, 84]-NRT-code) | [i] | ||
| 6 | No linear OOA(2170, 193, F2, 8, 83) (dual of [(193, 8), 1374, 84]-NRT-code) | [i] | ||