Information on Result #615632
Linear OA(961, 6561, F9, 17) (dual of [6561, 6500, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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(961, 5260, F9, 2, 17) (dual of [(5260, 2), 10459, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(961, 5260, F9, 3, 17) (dual of [(5260, 3), 15719, 18]-NRT-code) | [i] | ||
| 3 | Digital (44, 61, 5260)-net over F9 | [i] | ||
| 4 | Linear OA(966, 6566, F9, 19) (dual of [6566, 6500, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(961, 6565, F9, 17) (dual of [6565, 6504, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(971, 6571, F9, 20) (dual of [6571, 6500, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(962, 6570, F9, 17) (dual of [6570, 6508, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(977, 6577, F9, 21) (dual of [6577, 6500, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(964, 6576, F9, 17) (dual of [6576, 6512, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(983, 6583, F9, 22) (dual of [6583, 6500, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(965, 6581, F9, 17) (dual of [6581, 6516, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(988, 6588, F9, 23) (dual of [6588, 6500, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(982, 6581, F9, 22) (dual of [6581, 6499, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(993, 6590, F9, 24) (dual of [6590, 6497, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(989, 6590, F9, 23) (dual of [6590, 6501, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(982, 6579, F9, 22) (dual of [6579, 6497, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(978, 6579, F9, 21) (dual of [6579, 6501, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(963, 6572, F9, 17) (dual of [6572, 6509, 18]-code) | [i] | ✔ | |
| 19 | Linear OOA(961, 820, F9, 17, 17) (dual of [(820, 17), 13879, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |