Information on Result #548264
There is no linear OA(529, 33, F5, 24) (dual of [33, 4, 25]-code), because “Ma†bound on codes from Brouwer’s database
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 OOA(531, 33, F5, 2, 26) (dual of [(33, 2), 35, 27]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(532, 33, F5, 2, 27) (dual of [(33, 2), 34, 28]-NRT-code) | [i] | ||
| 3 | No linear OOA(533, 33, F5, 2, 28) (dual of [(33, 2), 33, 29]-NRT-code) | [i] | ||
| 4 | No linear OOA(534, 33, F5, 2, 29) (dual of [(33, 2), 32, 30]-NRT-code) | [i] | ||
| 5 | No linear OOA(535, 33, F5, 2, 30) (dual of [(33, 2), 31, 31]-NRT-code) | [i] | ||
| 6 | No linear OOA(536, 33, F5, 2, 31) (dual of [(33, 2), 30, 32]-NRT-code) | [i] | ||
| 7 | No linear OOA(537, 33, F5, 2, 32) (dual of [(33, 2), 29, 33]-NRT-code) | [i] | ||
| 8 | No linear OOA(538, 33, F5, 2, 33) (dual of [(33, 2), 28, 34]-NRT-code) | [i] | ||
| 9 | No linear OOA(539, 33, F5, 2, 34) (dual of [(33, 2), 27, 35]-NRT-code) | [i] | ||
| 10 | No linear OOA(540, 33, F5, 2, 35) (dual of [(33, 2), 26, 36]-NRT-code) | [i] | ||
| 11 | No linear OOA(541, 33, F5, 2, 36) (dual of [(33, 2), 25, 37]-NRT-code) | [i] | ||
| 12 | No linear OOA(542, 33, F5, 2, 37) (dual of [(33, 2), 24, 38]-NRT-code) | [i] | ||
| 13 | No linear OOA(543, 33, F5, 2, 38) (dual of [(33, 2), 23, 39]-NRT-code) | [i] | ||
| 14 | No linear OOA(544, 33, F5, 2, 39) (dual of [(33, 2), 22, 40]-NRT-code) | [i] | ||
| 15 | No linear OOA(545, 33, F5, 2, 40) (dual of [(33, 2), 21, 41]-NRT-code) | [i] | ||
| 16 | No linear OOA(546, 33, F5, 2, 41) (dual of [(33, 2), 20, 42]-NRT-code) | [i] | ||
| 17 | No linear OOA(547, 33, F5, 2, 42) (dual of [(33, 2), 19, 43]-NRT-code) | [i] | ||
| 18 | No linear OOA(548, 33, F5, 2, 43) (dual of [(33, 2), 18, 44]-NRT-code) | [i] | ||
| 19 | No linear OOA(549, 33, F5, 2, 44) (dual of [(33, 2), 17, 45]-NRT-code) | [i] | ||
| 20 | No linear OOA(550, 33, F5, 2, 45) (dual of [(33, 2), 16, 46]-NRT-code) | [i] | ||
| 21 | No linear OOA(551, 33, F5, 2, 46) (dual of [(33, 2), 15, 47]-NRT-code) | [i] | ||
| 22 | No linear OOA(552, 33, F5, 2, 47) (dual of [(33, 2), 14, 48]-NRT-code) | [i] | ||
| 23 | No linear OOA(553, 33, F5, 2, 48) (dual of [(33, 2), 13, 49]-NRT-code) | [i] | ||
| 24 | No linear OOA(554, 33, F5, 2, 49) (dual of [(33, 2), 12, 50]-NRT-code) | [i] | ||
| 25 | No linear OOA(555, 33, F5, 2, 50) (dual of [(33, 2), 11, 51]-NRT-code) | [i] | ||
| 26 | No linear OOA(556, 33, F5, 2, 51) (dual of [(33, 2), 10, 52]-NRT-code) | [i] | ||
| 27 | No linear OOA(557, 33, F5, 2, 52) (dual of [(33, 2), 9, 53]-NRT-code) | [i] | ||
| 28 | No linear OOA(558, 33, F5, 2, 53) (dual of [(33, 2), 8, 54]-NRT-code) | [i] | ||
| 29 | No linear OOA(559, 33, F5, 2, 54) (dual of [(33, 2), 7, 55]-NRT-code) | [i] | ||
| 30 | No linear OOA(529, 33, F5, 2, 24) (dual of [(33, 2), 37, 25]-NRT-code) | [i] | Depth Reduction | |
| 31 | No linear OOA(529, 33, F5, 3, 24) (dual of [(33, 3), 70, 25]-NRT-code) | [i] | ||
| 32 | No digital (5, 29, 33)-net over F5 | [i] | Extracting Embedded Orthogonal Array | |
| 33 | No linear OA(5149, 154, F5, 120) (dual of [154, 5, 121]-code) | [i] | Residual Code | |
| 34 | No linear OA(530, 43, F5, 24) (dual of [43, 13, 25]-code) | [i] | Construction Y1 (Bound) | |