Information on Result #615861
Linear OA(9121, 6561, F9, 34) (dual of [6561, 6440, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34
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(9121, 6037, F9, 2, 34) (dual of [(6037, 2), 11953, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9121, 6037, F9, 3, 34) (dual of [(6037, 3), 17990, 35]-NRT-code) | [i] | ||
| 3 | Digital (87, 121, 6037)-net over F9 | [i] | ||
| 4 | Linear OA(9125, 6565, F9, 35) (dual of [6565, 6440, 36]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(9121, 6565, F9, 34) (dual of [6565, 6444, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(9131, 6571, F9, 37) (dual of [6571, 6440, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(9122, 6570, F9, 34) (dual of [6570, 6448, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(9137, 6577, F9, 38) (dual of [6577, 6440, 39]-code) | [i] | ✔ | |
| 9 | Linear OA(9124, 6576, F9, 34) (dual of [6576, 6452, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(9143, 6583, F9, 39) (dual of [6583, 6440, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(9125, 6581, F9, 34) (dual of [6581, 6456, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(9148, 6588, F9, 40) (dual of [6588, 6440, 41]-code) | [i] | ✔ | |
| 13 | Linear OA(9127, 6587, F9, 34) (dual of [6587, 6460, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(9128, 6592, F9, 34) (dual of [6592, 6464, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(9133, 6601, F9, 34) (dual of [6601, 6468, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(9142, 6581, F9, 39) (dual of [6581, 6439, 40]-code) | [i] | ✔ | |
| 17 | Linear OA(9150, 6592, F9, 40) (dual of [6592, 6442, 41]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(9149, 6590, F9, 40) (dual of [6590, 6441, 41]-code) | [i] | ✔ | |
| 19 | Linear OA(9142, 6579, F9, 39) (dual of [6579, 6437, 40]-code) | [i] | ✔ | |
| 20 | Linear OA(9138, 6579, F9, 38) (dual of [6579, 6441, 39]-code) | [i] | ✔ | |
| 21 | Linear OA(9123, 6572, F9, 34) (dual of [6572, 6449, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(9126, 6583, F9, 34) (dual of [6583, 6457, 35]-code) | [i] | ✔ | |