Information on Result #704421
Linear OA(384, 728, F3, 21) (dual of [728, 644, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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]
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(393, 743, F3, 23) (dual of [743, 650, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OA(3103, 759, F3, 24) (dual of [759, 656, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(3124, 781, F3, 27) (dual of [781, 657, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(3103, 753, F3, 25) (dual of [753, 650, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(3101, 748, F3, 24) (dual of [748, 647, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(3123, 778, F3, 27) (dual of [778, 655, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(3121, 772, F3, 27) (dual of [772, 651, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(3120, 769, F3, 27) (dual of [769, 649, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(3124, 772, F3, 28) (dual of [772, 648, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(3118, 763, F3, 27) (dual of [763, 645, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(3108, 752, F3, 26) (dual of [752, 644, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(3116, 760, F3, 27) (dual of [760, 644, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(3115, 759, F3, 27) (dual of [759, 644, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(3134, 778, F3, 30) (dual of [778, 644, 31]-code) | [i] | ✔ | |
| 24 | Linear OOA(384, 364, F3, 2, 21) (dual of [(364, 2), 644, 22]-NRT-code) | [i] | OOA Folding | |
| 25 | Linear OOA(384, 242, F3, 3, 21) (dual of [(242, 3), 642, 22]-NRT-code) | [i] | ||
| 26 | Linear OOA(384, 182, F3, 4, 21) (dual of [(182, 4), 644, 22]-NRT-code) | [i] | ||