Information on Result #615800
Linear OA(997, 6561, F9, 28) (dual of [6561, 6464, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28
Mode: Constructive and 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 | Linear OA(996, 6560, F9, 27) (dual of [6560, 6464, 28]-code) | [i] | Truncation | |
| 2 | Linear OOA(997, 4386, F9, 2, 28) (dual of [(4386, 2), 8675, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(997, 4386, F9, 3, 28) (dual of [(4386, 3), 13061, 29]-NRT-code) | [i] | ||
| 4 | Digital (69, 97, 4386)-net over F9 | [i] | ||
| 5 | Linear OA(9101, 6565, F9, 29) (dual of [6565, 6464, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(998, 6566, F9, 28) (dual of [6566, 6468, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(9106, 6570, F9, 30) (dual of [6570, 6464, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(999, 6571, F9, 28) (dual of [6571, 6472, 29]-code) | [i] | ✔ | |
| 9 | Linear OA(9112, 6576, F9, 31) (dual of [6576, 6464, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(9101, 6577, F9, 28) (dual of [6577, 6476, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(9117, 6581, F9, 32) (dual of [6581, 6464, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(9103, 6583, F9, 28) (dual of [6583, 6480, 29]-code) | [i] | ✔ | |
| 13 | Linear OA(9123, 6587, F9, 33) (dual of [6587, 6464, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(9104, 6588, F9, 28) (dual of [6588, 6484, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(9128, 6592, F9, 34) (dual of [6592, 6464, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(9107, 6595, F9, 28) (dual of [6595, 6488, 29]-code) | [i] | ✔ | |
| 17 | Linear OA(9135, 6599, F9, 35) (dual of [6599, 6464, 36]-code) | [i] | ✔ | |
| 18 | Linear OA(9109, 6601, F9, 28) (dual of [6601, 6492, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(9144, 6608, F9, 37) (dual of [6608, 6464, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(9141, 6602, F9, 36) (dual of [6602, 6461, 37]-code) | [i] | ✔ | |
| 21 | Linear OA(9149, 6613, F9, 38) (dual of [6613, 6464, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(9102, 6581, F9, 28) (dual of [6581, 6479, 29]-code) | [i] | ✔ | |
| 23 | Linear OA(9143, 6605, F9, 37) (dual of [6605, 6462, 38]-code) | [i] | ✔ | |
| 24 | Linear OA(9141, 6605, F9, 36) (dual of [6605, 6464, 37]-code) | [i] | ✔ | |
| 25 | Linear OA(9122, 6583, F9, 33) (dual of [6583, 6461, 34]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 26 | Linear OA(9126, 6592, F9, 33) (dual of [6592, 6466, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(9125, 6590, F9, 33) (dual of [6590, 6465, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(9119, 6584, F9, 32) (dual of [6584, 6465, 33]-code) | [i] | ✔ | |
| 29 | Linear OA(9111, 6572, F9, 31) (dual of [6572, 6461, 32]-code) | [i] | ✔ | |
| 30 | Linear OA(9114, 6579, F9, 31) (dual of [6579, 6465, 32]-code) | [i] | ✔ | |
| 31 | Linear OA(9108, 6573, F9, 30) (dual of [6573, 6465, 31]-code) | [i] | ✔ | |
| 32 | Linear OA(9102, 6579, F9, 28) (dual of [6579, 6477, 29]-code) | [i] | ✔ | |
| 33 | Linear OA(9106, 6592, F9, 28) (dual of [6592, 6486, 29]-code) | [i] | ✔ | |
| 34 | Linear OA(9105, 6590, F9, 28) (dual of [6590, 6485, 29]-code) | [i] | ✔ | |
| 35 | Linear OOA(997, 3280, F9, 2, 28) (dual of [(3280, 2), 6463, 29]-NRT-code) | [i] | OOA Folding | |
| 36 | Linear OOA(997, 2187, F9, 3, 28) (dual of [(2187, 3), 6464, 29]-NRT-code) | [i] | ||