Information on Result #612717
Linear OA(451, 1024, F4, 14) (dual of [1024, 973, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, 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 OA(458, 1032, F4, 14) (dual of [1032, 974, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(459, 1034, F4, 14) (dual of [1034, 975, 15]-code) | [i] | ||
| 3 | Linear OA(460, 1041, F4, 14) (dual of [1041, 981, 15]-code) | [i] | ||
| 4 | Linear OA(456, 1029, F4, 15) (dual of [1029, 973, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(451, 1029, F4, 14) (dual of [1029, 978, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(462, 1035, F4, 16) (dual of [1035, 973, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(464, 1037, F4, 17) (dual of [1037, 973, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(454, 1037, F4, 14) (dual of [1037, 983, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(470, 1041, F4, 18) (dual of [1041, 971, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(471, 1044, F4, 18) (dual of [1044, 973, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(455, 1041, F4, 14) (dual of [1041, 986, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(456, 1044, F4, 14) (dual of [1044, 988, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(478, 1051, F4, 19) (dual of [1051, 973, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(458, 1051, F4, 14) (dual of [1051, 993, 15]-code) | [i] | ✔ | |
| 15 | Linear OA(488, 1058, F4, 21) (dual of [1058, 970, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(489, 1062, F4, 21) (dual of [1062, 973, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(486, 1059, F4, 20) (dual of [1059, 973, 21]-code) | [i] | ✔ | |
| 18 | Linear OA(496, 1067, F4, 22) (dual of [1067, 971, 23]-code) | [i] | ✔ | |
| 19 | Linear OA(485, 1055, F4, 20) (dual of [1055, 970, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(487, 1056, F4, 21) (dual of [1056, 969, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(484, 1053, F4, 20) (dual of [1053, 969, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(477, 1046, F4, 19) (dual of [1046, 969, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(480, 1055, F4, 19) (dual of [1055, 975, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(479, 1053, F4, 19) (dual of [1053, 974, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(472, 1046, F4, 18) (dual of [1046, 974, 19]-code) | [i] | ✔ | |
| 26 | Linear OA(463, 1032, F4, 17) (dual of [1032, 969, 18]-code) | [i] | ✔ | |
| 27 | Linear OA(463, 1037, F4, 16) (dual of [1037, 974, 17]-code) | [i] | ✔ | |
| 28 | Linear OA(453, 1032, F4, 14) (dual of [1032, 979, 15]-code) | [i] | ✔ | |
| 29 | Linear OA(457, 1046, F4, 14) (dual of [1046, 989, 15]-code) | [i] | ✔ | |
| 30 | Linear OA(460, 1054, F4, 14) (dual of [1054, 994, 15]-code) | [i] | ✔ | |
| 31 | Linear OA(452, 1041, F4, 12) (dual of [1041, 989, 13]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |