Information on Result #707581
Linear OA(451, 1023, F4, 14) (dual of [1023, 972, 15]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {329,330,…,342}, and designed minimum distance d ≥ |I|+1 = 15
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 Expurgated Narrow-Sense BCH-Codes [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(457, 1050, F4, 14) (dual of [1050, 993, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(454, 1041, F4, 14) (dual of [1041, 987, 15]-code) | [i] | ✔ | |
6 | Linear OA(453, 1033, F4, 14) (dual of [1033, 980, 15]-code) | [i] | ✔ | |
7 | Linear OA(452, 1034, F4, 14) (dual of [1034, 982, 15]-code) | [i] | ✔ | |
8 | Linear OA(465, 1042, F4, 17) (dual of [1042, 977, 18]-code) | [i] | ✔ | |
9 | Linear OA(472, 1050, F4, 18) (dual of [1050, 978, 19]-code) | [i] | ✔ | |
10 | Linear OA(490, 1065, F4, 21) (dual of [1065, 975, 22]-code) | [i] | ✔ | |
11 | Linear OA(489, 1063, F4, 21) (dual of [1063, 974, 22]-code) | [i] | ✔ | |
12 | Linear OA(475, 1047, F4, 19) (dual of [1047, 972, 20]-code) | [i] | ✔ | |
13 | Linear OA(474, 1039, F4, 19) (dual of [1039, 965, 20]-code) | [i] | ✔ | |
14 | Linear OA(482, 1054, F4, 20) (dual of [1054, 972, 21]-code) | [i] | ✔ | |
15 | Linear OA(481, 1051, F4, 20) (dual of [1051, 970, 21]-code) | [i] | ✔ | |
16 | Linear OA(4100, 1070, F4, 23) (dual of [1070, 970, 24]-code) | [i] | ✔ | |
17 | Linear OA(499, 1068, F4, 23) (dual of [1068, 969, 24]-code) | [i] | ✔ | |
18 | Linear OA(4108, 1077, F4, 25) (dual of [1077, 969, 26]-code) | [i] | ✔ |