Information on Result #615590
Linear OA(949, 6561, F9, 14) (dual of [6561, 6512, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(949, 4331, F9, 2, 14) (dual of [(4331, 2), 8613, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(949, 4331, F9, 3, 14) (dual of [(4331, 3), 12944, 15]-NRT-code) | [i] | ||
| 3 | Digital (35, 49, 4331)-net over F9 | [i] | ||
| 4 | Linear OA(953, 6565, F9, 15) (dual of [6565, 6512, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(949, 6565, F9, 14) (dual of [6565, 6516, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(958, 6570, F9, 16) (dual of [6570, 6512, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(950, 6570, F9, 14) (dual of [6570, 6520, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(964, 6576, F9, 17) (dual of [6576, 6512, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(952, 6576, F9, 14) (dual of [6576, 6524, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(971, 6583, F9, 19) (dual of [6583, 6512, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(969, 6581, F9, 18) (dual of [6581, 6512, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(953, 6581, F9, 14) (dual of [6581, 6528, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(976, 6588, F9, 20) (dual of [6588, 6512, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(970, 6581, F9, 19) (dual of [6581, 6511, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(981, 6590, F9, 21) (dual of [6590, 6509, 22]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(977, 6590, F9, 20) (dual of [6590, 6513, 21]-code) | [i] | ✔ | |
| 17 | Linear OA(970, 6579, F9, 19) (dual of [6579, 6509, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(963, 6572, F9, 17) (dual of [6572, 6509, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(959, 6572, F9, 16) (dual of [6572, 6513, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(951, 6572, F9, 14) (dual of [6572, 6521, 15]-code) | [i] | ✔ | |
| 21 | Linear OOA(949, 937, F9, 14, 14) (dual of [(937, 14), 13069, 15]-NRT-code) | [i] | OA Folding and Stacking | |