Information on Result #615579
Linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(984, 4782979, F9, 13) (dual of [4782979, 4782895, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(985, 4782986, F9, 13) (dual of [4782986, 4782901, 14]-code) | [i] | ||
| 3 | Linear OA(986, 4782989, F9, 13) (dual of [4782989, 4782903, 14]-code) | [i] | ||
| 4 | Linear OA(987, 4782997, F9, 13) (dual of [4782997, 4782910, 14]-code) | [i] | ||
| 5 | Linear OA(988, 4783010, F9, 13) (dual of [4783010, 4782922, 14]-code) | [i] | ||
| 6 | Linear OOA(978, 2935086, F9, 2, 13) (dual of [(2935086, 2), 5870094, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(978, 2935086, F9, 3, 13) (dual of [(2935086, 3), 8805180, 14]-NRT-code) | [i] | ||
| 8 | Digital (65, 78, 2935086)-net over F9 | [i] | ||
| 9 | Linear OA(987, 4782979, F9, 13) (dual of [4782979, 4782892, 14]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(988, 4782989, F9, 13) (dual of [4782989, 4782901, 14]-code) | [i] | ||
| 11 | Linear OA(985, 4782976, F9, 14) (dual of [4782976, 4782891, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(978, 4782976, F9, 13) (dual of [4782976, 4782898, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(993, 4782984, F9, 15) (dual of [4782984, 4782891, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(979, 4782984, F9, 13) (dual of [4782984, 4782905, 14]-code) | [i] | ✔ | |
| 15 | Linear OA(9102, 4782993, F9, 16) (dual of [4782993, 4782891, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(981, 4782993, F9, 13) (dual of [4782993, 4782912, 14]-code) | [i] | ✔ | |
| 17 | Linear OA(9110, 4783001, F9, 17) (dual of [4783001, 4782891, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(984, 4783003, F9, 13) (dual of [4783003, 4782919, 14]-code) | [i] | ✔ | |
| 19 | Linear OA(9120, 4783011, F9, 19) (dual of [4783011, 4782891, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(985, 4783011, F9, 13) (dual of [4783011, 4782926, 14]-code) | [i] | ✔ | |
| 21 | Linear OA(9131, 4783022, F9, 20) (dual of [4783022, 4782891, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(9140, 4783031, F9, 21) (dual of [4783031, 4782891, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(9149, 4783040, F9, 22) (dual of [4783040, 4782891, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(9139, 4783030, F9, 21) (dual of [4783030, 4782891, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(9130, 4783021, F9, 20) (dual of [4783021, 4782891, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(9101, 4782986, F9, 16) (dual of [4782986, 4782885, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 27 | Linear OA(983, 4782996, F9, 13) (dual of [4782996, 4782913, 14]-code) | [i] | ✔ | |
| 28 | Linear OA(993, 4782985, F9, 15) (dual of [4782985, 4782892, 16]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 29 | Linear OA(979, 4782985, F9, 13) (dual of [4782985, 4782906, 14]-code) | [i] | ✔ | |