Information on Result #704583
Linear OA(3124, 728, F3, 32) (dual of [728, 604, 33]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {333,334,…,364}, and designed minimum distance d ≥ |I|+1 = 33
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3124, 519, F3, 2, 32) (dual of [(519, 2), 914, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3124, 519, F3, 3, 32) (dual of [(519, 3), 1433, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(3124, 519, F3, 4, 32) (dual of [(519, 4), 1952, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(3124, 519, F3, 5, 32) (dual of [(519, 5), 2471, 33]-NRT-code) | [i] | ||
| 5 | Digital (92, 124, 519)-net over F3 | [i] | ||
| 6 | Linear OA(3144, 771, F3, 33) (dual of [771, 627, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3138, 762, F3, 33) (dual of [762, 624, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(3154, 781, F3, 35) (dual of [781, 627, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(3135, 754, F3, 33) (dual of [754, 619, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(3148, 772, F3, 35) (dual of [772, 624, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(3162, 789, F3, 36) (dual of [789, 627, 37]-code) | [i] | ✔ | |
| 12 | Linear OA(3134, 750, F3, 33) (dual of [750, 616, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(3133, 747, F3, 33) (dual of [747, 614, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(3156, 780, F3, 36) (dual of [780, 624, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(3172, 799, F3, 38) (dual of [799, 627, 39]-code) | [i] | ✔ | |
| 16 | Linear OA(3137, 741, F3, 35) (dual of [741, 604, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(3146, 750, F3, 36) (dual of [750, 604, 37]-code) | [i] | ✔ | |
| 18 | Linear OA(3145, 747, F3, 36) (dual of [747, 602, 37]-code) | [i] | ✔ | |
| 19 | Linear OA(3155, 759, F3, 38) (dual of [759, 604, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(3164, 768, F3, 39) (dual of [768, 604, 40]-code) | [i] | ✔ | |
| 21 | Linear OA(3162, 762, F3, 39) (dual of [762, 600, 40]-code) | [i] | ✔ | |