Information on Result #689677
Linear OA(973, 6561, F9, 21) (dual of [6561, 6488, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(973, 4084, F9, 2, 21) (dual of [(4084, 2), 8095, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(973, 4084, F9, 3, 21) (dual of [(4084, 3), 12179, 22]-NRT-code) | [i] | ||
| 3 | Digital (52, 73, 4084)-net over F9 | [i] | ||
| 4 | Linear OA(977, 6565, F9, 22) (dual of [6565, 6488, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(973, 6565, F9, 21) (dual of [6565, 6492, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(988, 6576, F9, 24) (dual of [6576, 6488, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(977, 6577, F9, 21) (dual of [6577, 6500, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(979, 6583, F9, 21) (dual of [6583, 6504, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(999, 6587, F9, 26) (dual of [6587, 6488, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(980, 6588, F9, 21) (dual of [6588, 6508, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(9107, 6595, F9, 28) (dual of [6595, 6488, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(9113, 6601, F9, 29) (dual of [6601, 6488, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(978, 6581, F9, 21) (dual of [6581, 6503, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(9106, 6592, F9, 28) (dual of [6592, 6486, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(9105, 6590, F9, 28) (dual of [6590, 6485, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(998, 6583, F9, 26) (dual of [6583, 6485, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(987, 6572, F9, 24) (dual of [6572, 6485, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(978, 6579, F9, 21) (dual of [6579, 6501, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(981, 6590, F9, 21) (dual of [6590, 6509, 22]-code) | [i] | ✔ | |
| 20 | Linear OOA(973, 656, F9, 21, 21) (dual of [(656, 21), 13703, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |