Information on Result #615844
Linear OA(9113, 6561, F9, 32) (dual of [6561, 6448, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32
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 OOA(9113, 5480, F9, 2, 32) (dual of [(5480, 2), 10847, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9113, 5480, F9, 3, 32) (dual of [(5480, 3), 16327, 33]-NRT-code) | [i] | ||
| 3 | Digital (81, 113, 5480)-net over F9 | [i] | ||
| 4 | Linear OA(9117, 6565, F9, 33) (dual of [6565, 6448, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(9113, 6565, F9, 32) (dual of [6565, 6452, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(9122, 6570, F9, 34) (dual of [6570, 6448, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(9114, 6570, F9, 32) (dual of [6570, 6456, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(9128, 6576, F9, 35) (dual of [6576, 6448, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(9116, 6576, F9, 32) (dual of [6576, 6460, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(9135, 6583, F9, 37) (dual of [6583, 6448, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(9133, 6581, F9, 36) (dual of [6581, 6448, 37]-code) | [i] | ✔ | |
| 12 | Linear OA(9117, 6581, F9, 32) (dual of [6581, 6464, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(9140, 6588, F9, 38) (dual of [6588, 6448, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(9120, 6588, F9, 32) (dual of [6588, 6468, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(9147, 6595, F9, 39) (dual of [6595, 6448, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(9123, 6595, F9, 32) (dual of [6595, 6472, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(9125, 6601, F9, 32) (dual of [6601, 6476, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(9134, 6581, F9, 37) (dual of [6581, 6447, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(9146, 6592, F9, 39) (dual of [6592, 6446, 40]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(9145, 6590, F9, 39) (dual of [6590, 6445, 40]-code) | [i] | ✔ | |
| 21 | Linear OA(9142, 6592, F9, 38) (dual of [6592, 6450, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(9141, 6590, F9, 38) (dual of [6590, 6449, 39]-code) | [i] | ✔ | |
| 23 | Linear OA(9134, 6579, F9, 37) (dual of [6579, 6445, 38]-code) | [i] | ✔ | |
| 24 | Linear OA(9134, 6583, F9, 36) (dual of [6583, 6449, 37]-code) | [i] | ✔ | |
| 25 | Linear OA(9127, 6572, F9, 35) (dual of [6572, 6445, 36]-code) | [i] | ✔ | |
| 26 | Linear OA(9123, 6572, F9, 34) (dual of [6572, 6449, 35]-code) | [i] | ✔ | |
| 27 | Linear OA(9115, 6572, F9, 32) (dual of [6572, 6457, 33]-code) | [i] | ✔ | |
| 28 | Linear OA(9119, 6584, F9, 32) (dual of [6584, 6465, 33]-code) | [i] | ✔ | |
| 29 | Linear OA(9122, 6592, F9, 32) (dual of [6592, 6470, 33]-code) | [i] | ✔ | |
| 30 | Linear OA(9121, 6590, F9, 32) (dual of [6590, 6469, 33]-code) | [i] | ✔ | |