Information on Result #707677
Linear OA(451, 1023, F4, 14) (dual of [1023, 972, 15]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15
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]
- 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 OOA(451, 560, F4, 2, 14) (dual of [(560, 2), 1069, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(451, 560, F4, 3, 14) (dual of [(560, 3), 1629, 15]-NRT-code) | [i] | ||
| 3 | Digital (37, 51, 560)-net over F4 | [i] | ||
| 4 | Linear OA(484, 1071, F4, 19) (dual of [1071, 987, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(475, 1060, F4, 18) (dual of [1060, 985, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(456, 1033, F4, 15) (dual of [1033, 977, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(483, 1070, F4, 19) (dual of [1070, 987, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(473, 1053, F4, 18) (dual of [1053, 980, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(462, 1039, F4, 16) (dual of [1039, 977, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(481, 1063, F4, 19) (dual of [1063, 982, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(480, 1057, F4, 19) (dual of [1057, 977, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(489, 1070, F4, 20) (dual of [1070, 981, 21]-code) | [i] | ✔ | |
| 13 | Linear OA(471, 1048, F4, 18) (dual of [1048, 977, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(470, 1045, F4, 18) (dual of [1045, 975, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(478, 1055, F4, 19) (dual of [1055, 977, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(477, 1049, F4, 19) (dual of [1049, 972, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(486, 1062, F4, 20) (dual of [1062, 976, 21]-code) | [i] | ✔ | |
| 18 | Linear OA(461, 1033, F4, 16) (dual of [1033, 972, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(475, 1045, F4, 19) (dual of [1045, 970, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(482, 1049, F4, 20) (dual of [1049, 967, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(484, 1056, F4, 21) (dual of [1056, 972, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(483, 1053, F4, 21) (dual of [1053, 970, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(491, 1063, F4, 22) (dual of [1063, 972, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(490, 1057, F4, 22) (dual of [1057, 967, 23]-code) | [i] | ✔ | |
| 25 | Linear OA(499, 1070, F4, 23) (dual of [1070, 971, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(4107, 1072, F4, 24) (dual of [1072, 965, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(490, 1060, F4, 22) (dual of [1060, 970, 23]-code) | [i] | ✔ | |
| 28 | Linear OA(498, 1070, F4, 23) (dual of [1070, 972, 24]-code) | [i] | ✔ | |
| 29 | Linear OA(4106, 1077, F4, 24) (dual of [1077, 971, 25]-code) | [i] | ✔ | |
| 30 | Linear OA(4105, 1077, F4, 24) (dual of [1077, 972, 25]-code) | [i] | ✔ | |
| 31 | Linear OA(4104, 1071, F4, 24) (dual of [1071, 967, 25]-code) | [i] | ✔ | |