Information on Result #707741
Linear OA(476, 1023, F4, 21) (dual of [1023, 947, 22]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,16}, and designed minimum distance d ≥ |I|+1 = 22
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(476, 615, F4, 2, 21) (dual of [(615, 2), 1154, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(476, 615, F4, 3, 21) (dual of [(615, 3), 1769, 22]-NRT-code) | [i] | ||
| 3 | Digital (55, 76, 615)-net over F4 | [i] | ||
| 4 | Linear OA(488, 1066, F4, 21) (dual of [1066, 978, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(487, 1064, F4, 21) (dual of [1064, 977, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(486, 1059, F4, 21) (dual of [1059, 973, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(485, 1057, F4, 21) (dual of [1057, 972, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(484, 1052, F4, 21) (dual of [1052, 968, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(482, 1050, F4, 20) (dual of [1050, 968, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(483, 1050, F4, 21) (dual of [1050, 967, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(481, 1046, F4, 20) (dual of [1046, 965, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(486, 1063, F4, 21) (dual of [1063, 977, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(485, 1060, F4, 21) (dual of [1060, 975, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(483, 1058, F4, 20) (dual of [1058, 975, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(484, 1056, F4, 21) (dual of [1056, 972, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(483, 1053, F4, 21) (dual of [1053, 970, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(482, 1049, F4, 21) (dual of [1049, 967, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(480, 1047, F4, 20) (dual of [1047, 967, 21]-code) | [i] | ✔ | |
| 19 | Linear OA(481, 1046, F4, 21) (dual of [1046, 965, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(487, 1049, F4, 22) (dual of [1049, 962, 23]-code) | [i] | ✔ | |
| 21 | Linear OA(486, 1048, F4, 22) (dual of [1048, 962, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(485, 1045, F4, 22) (dual of [1045, 960, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(494, 1057, F4, 23) (dual of [1057, 963, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(492, 1054, F4, 23) (dual of [1054, 962, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(491, 1051, F4, 23) (dual of [1051, 960, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(4103, 1066, F4, 25) (dual of [1066, 963, 26]-code) | [i] | ✔ | |
| 27 | Linear OA(4102, 1064, F4, 25) (dual of [1064, 962, 26]-code) | [i] | ✔ | |
| 28 | Linear OA(4101, 1063, F4, 25) (dual of [1063, 962, 26]-code) | [i] | ✔ | |
| 29 | Linear OA(4100, 1060, F4, 25) (dual of [1060, 960, 26]-code) | [i] | ✔ | |
| 30 | Linear OA(498, 1058, F4, 24) (dual of [1058, 960, 25]-code) | [i] | ✔ | |
| 31 | Linear OA(4110, 1073, F4, 26) (dual of [1073, 963, 27]-code) | [i] | ✔ | |
| 32 | Linear OOA(476, 341, F4, 3, 21) (dual of [(341, 3), 947, 22]-NRT-code) | [i] | OOA Folding | |