Information on Result #2156267
There is no linear OA(2172, 196, F2, 82) (dual of [196, 24, 83]-code), because adding a parity check bit 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.
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(2172, 196, F2, 83) (dual of [196, 24, 84]-code) | [i] | Strength Reduction | |
| 2 | No linear OA(2172, 196, F2, 84) (dual of [196, 24, 85]-code) | [i] | ||
| 3 | No linear OA(2171, 195, F2, 82) (dual of [195, 24, 83]-code) | [i] | Code Embedding in Larger Space | |
| 4 | No linear OA(2170, 194, F2, 82) (dual of [194, 24, 83]-code) | [i] | ||
| 5 | No linear OA(2169, 193, F2, 82) (dual of [193, 24, 83]-code) | [i] | ||
| 6 | No linear OA(2168, 192, F2, 82) (dual of [192, 24, 83]-code) | [i] | ||
| 7 | No linear OA(2167, 191, F2, 82) (dual of [191, 24, 83]-code) | [i] | ||
| 8 | No linear OA(2174, 198, F2, 84) (dual of [198, 24, 85]-code) | [i] | Truncation | |
| 9 | No linear OA(2175, 199, F2, 85) (dual of [199, 24, 86]-code) | [i] | ||
| 10 | No linear OA(2176, 200, F2, 86) (dual of [200, 24, 87]-code) | [i] | ||
| 11 | No linear OA(2177, 201, F2, 87) (dual of [201, 24, 88]-code) | [i] | ||
| 12 | No linear OOA(2173, 196, F2, 2, 83) (dual of [(196, 2), 219, 84]-NRT-code) | [i] | m-Reduction for OOAs | |
| 13 | No linear OOA(2174, 196, F2, 2, 84) (dual of [(196, 2), 218, 85]-NRT-code) | [i] | ||
| 14 | No linear OOA(2175, 196, F2, 2, 85) (dual of [(196, 2), 217, 86]-NRT-code) | [i] | ||
| 15 | No linear OOA(2176, 196, F2, 2, 86) (dual of [(196, 2), 216, 87]-NRT-code) | [i] | ||
| 16 | No linear OOA(2177, 196, F2, 2, 87) (dual of [(196, 2), 215, 88]-NRT-code) | [i] | ||
| 17 | No linear OOA(2172, 196, F2, 2, 82) (dual of [(196, 2), 220, 83]-NRT-code) | [i] | Depth Reduction | |
| 18 | No linear OOA(2172, 196, F2, 3, 82) (dual of [(196, 3), 416, 83]-NRT-code) | [i] | ||
| 19 | No linear OOA(2172, 196, F2, 4, 82) (dual of [(196, 4), 612, 83]-NRT-code) | [i] | ||
| 20 | No linear OOA(2172, 196, F2, 5, 82) (dual of [(196, 5), 808, 83]-NRT-code) | [i] | ||
| 21 | No linear OOA(2172, 196, F2, 6, 82) (dual of [(196, 6), 1004, 83]-NRT-code) | [i] | ||
| 22 | No linear OOA(2172, 196, F2, 7, 82) (dual of [(196, 7), 1200, 83]-NRT-code) | [i] | ||
| 23 | No linear OOA(2172, 196, F2, 8, 82) (dual of [(196, 8), 1396, 83]-NRT-code) | [i] | ||
| 24 | No digital (90, 172, 196)-net over F2 | [i] | Extracting Embedded Orthogonal Array | |
| 25 | No linear OA(2173, 208, F2, 82) (dual of [208, 35, 83]-code) | [i] | Construction Y1 (Bound) | |