Information on Result #704333
Linear OA(384, 728, F3, 21) (dual of [728, 644, 22]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {343,344,…,363}, 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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(384, 465, F3, 2, 21) (dual of [(465, 2), 846, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(384, 465, F3, 3, 21) (dual of [(465, 3), 1311, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(384, 465, F3, 4, 21) (dual of [(465, 4), 1776, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(384, 465, F3, 5, 21) (dual of [(465, 5), 2241, 22]-NRT-code) | [i] | ||
| 5 | Digital (63, 84, 465)-net over F3 | [i] | ||
| 6 | Linear OA(393, 773, F3, 21) (dual of [773, 680, 22]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(394, 791, F3, 21) (dual of [791, 697, 22]-code) | [i] | ||
| 8 | Linear OA(395, 814, F3, 21) (dual of [814, 719, 22]-code) | [i] | ||
| 9 | Linear OA(396, 844, F3, 21) (dual of [844, 748, 22]-code) | [i] | ||
| 10 | Linear OA(3102, 770, F3, 23) (dual of [770, 668, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OA(3100, 764, F3, 23) (dual of [764, 664, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(3110, 774, F3, 25) (dual of [774, 664, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(3118, 782, F3, 26) (dual of [782, 664, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(3126, 770, F3, 29) (dual of [770, 644, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(3133, 773, F3, 30) (dual of [773, 640, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(3134, 774, F3, 31) (dual of [774, 640, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(3143, 783, F3, 32) (dual of [783, 640, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(3144, 788, F3, 32) (dual of [788, 644, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(3142, 782, F3, 32) (dual of [782, 640, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(3151, 791, F3, 33) (dual of [791, 640, 34]-code) | [i] | ✔ | |
| 21 | Linear OOA(384, 364, F3, 2, 21) (dual of [(364, 2), 644, 22]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(384, 242, F3, 3, 21) (dual of [(242, 3), 642, 22]-NRT-code) | [i] | ||
| 23 | Linear OOA(384, 182, F3, 4, 21) (dual of [(182, 4), 644, 22]-NRT-code) | [i] | ||