Information on Result #548298
There is no linear OA(283, 93, F2, 42) (dual of [93, 10, 43]-code), because residual code would yield linear OA(241, 50, F2, 21) (dual of [50, 9, 22]-code), but
- 1 times truncation [i] would yield linear OA(240, 49, F2, 20) (dual of [49, 9, 21]-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 OA(284, 94, F2, 43) (dual of [94, 10, 44]-code) | [i] | Truncation | |
| 2 | No linear OOA(284, 93, F2, 2, 43) (dual of [(93, 2), 102, 44]-NRT-code) | [i] | m-Reduction for OOAs | |
| 3 | No linear OOA(286, 93, F2, 2, 45) (dual of [(93, 2), 100, 46]-NRT-code) | [i] | ||
| 4 | No linear OOA(283, 93, F2, 2, 42) (dual of [(93, 2), 103, 43]-NRT-code) | [i] | Depth Reduction | |
| 5 | No linear OOA(283, 93, F2, 3, 42) (dual of [(93, 3), 196, 43]-NRT-code) | [i] | ||
| 6 | No linear OOA(283, 93, F2, 4, 42) (dual of [(93, 4), 289, 43]-NRT-code) | [i] | ||
| 7 | No linear OOA(283, 93, F2, 5, 42) (dual of [(93, 5), 382, 43]-NRT-code) | [i] | ||
| 8 | No linear OOA(283, 93, F2, 6, 42) (dual of [(93, 6), 475, 43]-NRT-code) | [i] | ||
| 9 | No linear OOA(283, 93, F2, 7, 42) (dual of [(93, 7), 568, 43]-NRT-code) | [i] | ||
| 10 | No linear OOA(283, 93, F2, 8, 42) (dual of [(93, 8), 661, 43]-NRT-code) | [i] | ||
| 11 | No digital (41, 83, 93)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 12 | No linear OA(2167, 178, F2, 84) (dual of [178, 11, 85]-code) | [i] | Residual Code | |