Information on Result #553474
There is no linear OOA(2197, 218, F2, 2, 97) (dual of [(218, 2), 239, 98]-NRT-code), because 5 step m-reduction would yield linear OA(2192, 218, F2, 92) (dual of [218, 26, 93]-code), but
- 2 times code embedding in larger space [i] would yield linear OA(2194, 220, F2, 92) (dual of [220, 26, 93]-code), but
- adding a parity check bit [i] would yield linear OA(2195, 221, F2, 93) (dual of [221, 26, 94]-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(2197, 218, F2, 3, 97) (dual of [(218, 3), 457, 98]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2197, 218, F2, 4, 97) (dual of [(218, 4), 675, 98]-NRT-code) | [i] | ||
| 3 | No linear OOA(2197, 218, F2, 5, 97) (dual of [(218, 5), 893, 98]-NRT-code) | [i] | ||
| 4 | No linear OOA(2197, 218, F2, 6, 97) (dual of [(218, 6), 1111, 98]-NRT-code) | [i] | ||
| 5 | No linear OOA(2197, 218, F2, 7, 97) (dual of [(218, 7), 1329, 98]-NRT-code) | [i] | ||
| 6 | No linear OOA(2197, 218, F2, 8, 97) (dual of [(218, 8), 1547, 98]-NRT-code) | [i] | ||