Information on Result #615537
Linear OA(933, 6561, F9, 10) (dual of [6561, 6528, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(932, 6560, F9, 9) (dual of [6560, 6528, 10]-code) | [i] | Truncation | |
| 2 | Linear OA(937, 6565, F9, 11) (dual of [6565, 6528, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(934, 6566, F9, 10) (dual of [6566, 6532, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(942, 6570, F9, 12) (dual of [6570, 6528, 13]-code) | [i] | ✔ | |
| 5 | Linear OA(935, 6571, F9, 10) (dual of [6571, 6536, 11]-code) | [i] | ✔ | |
| 6 | Linear OA(948, 6576, F9, 13) (dual of [6576, 6528, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(937, 6577, F9, 10) (dual of [6577, 6540, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(953, 6581, F9, 14) (dual of [6581, 6528, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(947, 6572, F9, 13) (dual of [6572, 6525, 14]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(944, 6573, F9, 12) (dual of [6573, 6529, 13]-code) | [i] | ✔ | |
| 11 | Linear OOA(933, 3280, F9, 2, 10) (dual of [(3280, 2), 6527, 11]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(933, 2187, F9, 3, 10) (dual of [(2187, 3), 6528, 11]-NRT-code) | [i] | ||
| 13 | Linear OOA(933, 1312, F9, 10, 10) (dual of [(1312, 10), 13087, 11]-NRT-code) | [i] | OA Folding and Stacking | |