Information on Result #552217
There is no linear OOA(2153, 159, F2, 2, 79) (dual of [(159, 2), 165, 80]-NRT-code), because 3 step m-reduction would yield linear OA(2150, 159, F2, 76) (dual of [159, 9, 77]-code), but
- residual code [i] would yield linear OA(274, 82, F2, 38) (dual of [82, 8, 39]-code), but
- adding a parity check bit [i] would yield linear OA(275, 83, F2, 39) (dual of [83, 8, 40]-code), but
- “DHM†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(275, 83, F2, 39) (dual of [83, 8, 40]-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(2153, 159, F2, 3, 79) (dual of [(159, 3), 324, 80]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(2153, 159, F2, 4, 79) (dual of [(159, 4), 483, 80]-NRT-code) | [i] | ||
| 3 | No linear OOA(2153, 159, F2, 5, 79) (dual of [(159, 5), 642, 80]-NRT-code) | [i] | ||
| 4 | No linear OOA(2153, 159, F2, 6, 79) (dual of [(159, 6), 801, 80]-NRT-code) | [i] | ||
| 5 | No linear OOA(2153, 159, F2, 7, 79) (dual of [(159, 7), 960, 80]-NRT-code) | [i] | ||
| 6 | No linear OOA(2153, 159, F2, 8, 79) (dual of [(159, 8), 1119, 80]-NRT-code) | [i] | ||