Information on Result #704064
Linear OA(3123, 728, F3, 31) (dual of [728, 605, 32]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32
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(3123, 568, F3, 2, 31) (dual of [(568, 2), 1013, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3123, 568, F3, 3, 31) (dual of [(568, 3), 1581, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(3123, 568, F3, 4, 31) (dual of [(568, 4), 2149, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(3123, 568, F3, 5, 31) (dual of [(568, 5), 2717, 32]-NRT-code) | [i] | ||
| 5 | Digital (92, 123, 568)-net over F3 | [i] | ||
| 6 | Linear OA(3169, 772, F3, 39) (dual of [772, 603, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(3154, 774, F3, 36) (dual of [774, 620, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(3167, 785, F3, 38) (dual of [785, 618, 39]-code) | [i] | ✔ | |
| 9 | Linear OA(3166, 780, F3, 38) (dual of [780, 614, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(3141, 752, F3, 35) (dual of [752, 611, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(3166, 781, F3, 38) (dual of [781, 615, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(3149, 760, F3, 36) (dual of [760, 611, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(3162, 771, F3, 38) (dual of [771, 609, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(3138, 743, F3, 35) (dual of [743, 605, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(3148, 753, F3, 37) (dual of [753, 605, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(3146, 748, F3, 36) (dual of [748, 602, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(3165, 769, F3, 39) (dual of [769, 604, 40]-code) | [i] | ✔ | |
| 18 | Linear OA(3169, 772, F3, 40) (dual of [772, 603, 41]-code) | [i] | ✔ | |
| 19 | Linear OA(3163, 763, F3, 39) (dual of [763, 600, 40]-code) | [i] | ✔ | |
| 20 | Linear OA(3183, 787, F3, 42) (dual of [787, 604, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(3187, 790, F3, 43) (dual of [790, 603, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(3181, 781, F3, 42) (dual of [781, 600, 43]-code) | [i] | ✔ | |
| 23 | Linear OA(3186, 785, F3, 43) (dual of [785, 599, 44]-code) | [i] | ✔ | |
| 24 | Linear OA(3195, 794, F3, 44) (dual of [794, 599, 45]-code) | [i] | ✔ | |