Information on Result #704533
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 = {334,335,…,365}, 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(3140, 773, F3, 32) (dual of [773, 633, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3135, 767, F3, 32) (dual of [767, 632, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(3133, 764, F3, 32) (dual of [764, 631, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(3132, 762, F3, 32) (dual of [762, 630, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(3131, 756, F3, 32) (dual of [756, 625, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(3155, 781, F3, 35) (dual of [781, 626, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(3141, 766, F3, 34) (dual of [766, 625, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(3139, 763, F3, 34) (dual of [763, 624, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(3128, 748, F3, 32) (dual of [748, 620, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(3127, 746, F3, 32) (dual of [746, 619, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(3164, 790, F3, 37) (dual of [790, 626, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(3125, 741, F3, 32) (dual of [741, 616, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(3173, 799, F3, 38) (dual of [799, 626, 39]-code) | [i] | ✔ | |
| 19 | Linear OA(3157, 781, F3, 37) (dual of [781, 624, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(3132, 742, F3, 34) (dual of [742, 610, 35]-code) | [i] | ✔ | |
| 21 | Linear OA(3152, 765, F3, 37) (dual of [765, 613, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(3150, 763, F3, 36) (dual of [763, 613, 37]-code) | [i] | ✔ | |
| 23 | Linear OA(3150, 760, F3, 37) (dual of [760, 610, 38]-code) | [i] | ✔ | |
| 24 | Linear OA(3159, 770, F3, 38) (dual of [770, 611, 39]-code) | [i] | ✔ | |
| 25 | Linear OA(3157, 764, F3, 38) (dual of [764, 607, 39]-code) | [i] | ✔ | |
| 26 | Linear OA(3169, 773, F3, 39) (dual of [773, 604, 40]-code) | [i] | ✔ | |
| 27 | Linear OA(3162, 766, F3, 39) (dual of [766, 604, 40]-code) | [i] | ✔ | |
| 28 | Linear OA(3173, 777, F3, 41) (dual of [777, 604, 42]-code) | [i] | ✔ | |
| 29 | Linear OA(3182, 786, F3, 42) (dual of [786, 604, 43]-code) | [i] | ✔ | |
| 30 | Linear OA(3180, 780, F3, 42) (dual of [780, 600, 43]-code) | [i] | ✔ | |