Information on Result #548287
There is no linear OA(911, 17, F9, 10) (dual of [17, 6, 11]-code), because “MPa†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(914, 17, F9, 2, 13) (dual of [(17, 2), 20, 14]-NRT-code) | [i] | m-Reduction for OOAs | |
| 2 | No linear OOA(915, 17, F9, 2, 14) (dual of [(17, 2), 19, 15]-NRT-code) | [i] | ||
| 3 | No linear OOA(916, 17, F9, 2, 15) (dual of [(17, 2), 18, 16]-NRT-code) | [i] | ||
| 4 | No linear OOA(917, 17, F9, 2, 16) (dual of [(17, 2), 17, 17]-NRT-code) | [i] | ||
| 5 | No linear OOA(918, 17, F9, 2, 17) (dual of [(17, 2), 16, 18]-NRT-code) | [i] | ||
| 6 | No linear OOA(919, 17, F9, 2, 18) (dual of [(17, 2), 15, 19]-NRT-code) | [i] | ||
| 7 | No linear OOA(920, 17, F9, 2, 19) (dual of [(17, 2), 14, 20]-NRT-code) | [i] | ||
| 8 | No linear OOA(921, 17, F9, 2, 20) (dual of [(17, 2), 13, 21]-NRT-code) | [i] | ||
| 9 | No linear OOA(922, 17, F9, 2, 21) (dual of [(17, 2), 12, 22]-NRT-code) | [i] | ||
| 10 | No linear OOA(923, 17, F9, 2, 22) (dual of [(17, 2), 11, 23]-NRT-code) | [i] | ||
| 11 | No linear OOA(924, 17, F9, 2, 23) (dual of [(17, 2), 10, 24]-NRT-code) | [i] | ||
| 12 | No linear OOA(925, 17, F9, 2, 24) (dual of [(17, 2), 9, 25]-NRT-code) | [i] | ||
| 13 | No linear OOA(926, 17, F9, 2, 25) (dual of [(17, 2), 8, 26]-NRT-code) | [i] | ||
| 14 | No linear OOA(927, 17, F9, 2, 26) (dual of [(17, 2), 7, 27]-NRT-code) | [i] | ||
| 15 | No linear OOA(928, 17, F9, 2, 27) (dual of [(17, 2), 6, 28]-NRT-code) | [i] | ||
| 16 | No linear OOA(931, 17, F9, 3, 30) (dual of [(17, 3), 20, 31]-NRT-code) | [i] | ||
| 17 | No linear OOA(932, 17, F9, 3, 31) (dual of [(17, 3), 19, 32]-NRT-code) | [i] | ||
| 18 | No linear OOA(933, 17, F9, 3, 32) (dual of [(17, 3), 18, 33]-NRT-code) | [i] | ||
| 19 | No linear OOA(934, 17, F9, 3, 33) (dual of [(17, 3), 17, 34]-NRT-code) | [i] | ||
| 20 | No linear OOA(935, 17, F9, 3, 34) (dual of [(17, 3), 16, 35]-NRT-code) | [i] | ||
| 21 | No linear OOA(936, 17, F9, 3, 35) (dual of [(17, 3), 15, 36]-NRT-code) | [i] | ||
| 22 | No linear OOA(937, 17, F9, 3, 36) (dual of [(17, 3), 14, 37]-NRT-code) | [i] | ||
| 23 | No linear OOA(938, 17, F9, 3, 37) (dual of [(17, 3), 13, 38]-NRT-code) | [i] | ||
| 24 | No linear OOA(939, 17, F9, 3, 38) (dual of [(17, 3), 12, 39]-NRT-code) | [i] | ||
| 25 | No linear OOA(940, 17, F9, 3, 39) (dual of [(17, 3), 11, 40]-NRT-code) | [i] | ||
| 26 | No linear OOA(941, 17, F9, 3, 40) (dual of [(17, 3), 10, 41]-NRT-code) | [i] | ||
| 27 | No linear OOA(942, 17, F9, 3, 41) (dual of [(17, 3), 9, 42]-NRT-code) | [i] | ||
| 28 | No linear OOA(943, 17, F9, 3, 42) (dual of [(17, 3), 8, 43]-NRT-code) | [i] | ||
| 29 | No linear OOA(944, 17, F9, 3, 43) (dual of [(17, 3), 7, 44]-NRT-code) | [i] | ||
| 30 | No linear OOA(945, 17, F9, 3, 44) (dual of [(17, 3), 6, 45]-NRT-code) | [i] | ||
| 31 | No linear OOA(911, 17, F9, 2, 10) (dual of [(17, 2), 23, 11]-NRT-code) | [i] | Depth Reduction | |
| 32 | No linear OOA(911, 17, F9, 3, 10) (dual of [(17, 3), 40, 11]-NRT-code) | [i] | ||
| 33 | No digital (1, 11, 17)-net over F9 | [i] | Extracting Embedded Orthogonal Array | |
| 34 | No linear OA(9101, 108, F9, 90) (dual of [108, 7, 91]-code) | [i] | Residual Code | |
| 35 | No linear OA(910, 21, F9, 9) (dual of [21, 11, 10]-code) | [i] | Dual of a Near-MDS Code Is Again a Near-MDS Code | |
| 36 | No linear OA(912, 62, F9, 10) (dual of [62, 50, 11]-code) | [i] | Construction Y1 (Bound) | |