Information on Result #615555
Linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(969, 4782979, F9, 11) (dual of [4782979, 4782910, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(970, 4782985, F9, 11) (dual of [4782985, 4782915, 12]-code) | [i] | ||
| 3 | Linear OA(971, 4783042, F9, 11) (dual of [4783042, 4782971, 12]-code) | [i] | ||
| 4 | Linear OA(972, 4782978, F9, 11) (dual of [4782978, 4782906, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 5 | Linear OOA(964, 2479466, F9, 2, 11) (dual of [(2479466, 2), 4958868, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(964, 2479466, F9, 3, 11) (dual of [(2479466, 3), 7438334, 12]-NRT-code) | [i] | ||
| 7 | Digital (53, 64, 2479466)-net over F9 | [i] | ||
| 8 | Linear OA(971, 4782977, F9, 11) (dual of [4782977, 4782906, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(972, 4782989, F9, 11) (dual of [4782989, 4782917, 12]-code) | [i] | ||
| 10 | Linear OA(971, 4782976, F9, 12) (dual of [4782976, 4782905, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(964, 4782976, F9, 11) (dual of [4782976, 4782912, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(979, 4782984, F9, 13) (dual of [4782984, 4782905, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(966, 4782979, F9, 11) (dual of [4782979, 4782913, 12]-code) | [i] | ✔ | |
| 14 | Linear OA(967, 4782986, F9, 11) (dual of [4782986, 4782919, 12]-code) | [i] | ✔ | |
| 15 | Linear OA(988, 4782993, F9, 14) (dual of [4782993, 4782905, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(968, 4782994, F9, 11) (dual of [4782994, 4782926, 12]-code) | [i] | ✔ | |
| 17 | Linear OA(996, 4783001, F9, 15) (dual of [4783001, 4782905, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(970, 4783003, F9, 11) (dual of [4783003, 4782933, 12]-code) | [i] | ✔ | |
| 19 | Linear OA(9105, 4783010, F9, 16) (dual of [4783010, 4782905, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(9113, 4783018, F9, 17) (dual of [4783018, 4782905, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(9126, 4783031, F9, 19) (dual of [4783031, 4782905, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(9124, 4783029, F9, 18) (dual of [4783029, 4782905, 19]-code) | [i] | ✔ | |
| 23 | Linear OA(9135, 4783040, F9, 20) (dual of [4783040, 4782905, 21]-code) | [i] | ✔ | |
| 24 | Linear OA(9143, 4783048, F9, 21) (dual of [4783048, 4782905, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(9125, 4783030, F9, 19) (dual of [4783030, 4782905, 20]-code) | [i] | ✔ | |
| 26 | Linear OA(969, 4782996, F9, 11) (dual of [4782996, 4782927, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 27 | Linear OA(979, 4782985, F9, 13) (dual of [4782985, 4782906, 14]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |