Information on Result #707648
Linear OA(446, 1023, F4, 13) (dual of [1023, 977, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,12], 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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(471, 1063, F4, 17) (dual of [1063, 992, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(470, 1060, F4, 17) (dual of [1060, 990, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(468, 1058, F4, 16) (dual of [1058, 990, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(458, 1040, F4, 15) (dual of [1040, 982, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(478, 1070, F4, 18) (dual of [1070, 992, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(477, 1064, F4, 18) (dual of [1064, 987, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(469, 1056, F4, 17) (dual of [1056, 987, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(468, 1053, F4, 17) (dual of [1053, 985, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(476, 1063, F4, 18) (dual of [1063, 987, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(475, 1057, F4, 18) (dual of [1057, 982, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(467, 1049, F4, 17) (dual of [1049, 982, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(465, 1047, F4, 16) (dual of [1047, 982, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(466, 1046, F4, 17) (dual of [1046, 980, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(484, 1070, F4, 19) (dual of [1070, 986, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(474, 1056, F4, 18) (dual of [1056, 982, 19]-code) | [i] | ✔ | |
| 16 | Linear OA(482, 1063, F4, 19) (dual of [1063, 981, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(456, 1033, F4, 15) (dual of [1033, 977, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(462, 1039, F4, 16) (dual of [1039, 977, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(471, 1048, F4, 18) (dual of [1048, 977, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(470, 1045, F4, 18) (dual of [1045, 975, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(478, 1055, F4, 19) (dual of [1055, 977, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(477, 1049, F4, 19) (dual of [1049, 972, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(486, 1062, F4, 20) (dual of [1062, 976, 21]-code) | [i] | ✔ | |
| 24 | Linear OA(477, 1054, F4, 19) (dual of [1054, 977, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(476, 1051, F4, 19) (dual of [1051, 975, 20]-code) | [i] | ✔ | |
| 26 | Linear OA(484, 1061, F4, 20) (dual of [1061, 977, 21]-code) | [i] | ✔ | |
| 27 | Linear OA(483, 1055, F4, 20) (dual of [1055, 972, 21]-code) | [i] | ✔ | |
| 28 | Linear OA(486, 1063, F4, 21) (dual of [1063, 977, 22]-code) | [i] | ✔ | |
| 29 | Linear OA(485, 1060, F4, 21) (dual of [1060, 975, 22]-code) | [i] | ✔ | |
| 30 | Linear OA(483, 1058, F4, 20) (dual of [1058, 975, 21]-code) | [i] | ✔ | |
| 31 | Linear OA(493, 1070, F4, 22) (dual of [1070, 977, 23]-code) | [i] | ✔ | |
| 32 | Linear OA(492, 1064, F4, 22) (dual of [1064, 972, 23]-code) | [i] | ✔ | |
| 33 | Linear OA(4101, 1077, F4, 23) (dual of [1077, 976, 24]-code) | [i] | ✔ | |
| 34 | Linear OA(4100, 1077, F4, 23) (dual of [1077, 977, 24]-code) | [i] | ✔ | |
| 35 | Linear OA(499, 1071, F4, 23) (dual of [1071, 972, 24]-code) | [i] | ✔ | |
| 36 | Linear OOA(446, 341, F4, 3, 13) (dual of [(341, 3), 977, 14]-NRT-code) | [i] | OOA Folding | |