Information on Result #704066
Linear OA(3165, 728, F3, 42) (dual of [728, 563, 43]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
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 OA(3168, 753, F3, 42) (dual of [753, 585, 43]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(3169, 770, F3, 42) (dual of [770, 601, 43]-code) | [i] | ||
| 3 | Linear OA(3170, 789, F3, 42) (dual of [789, 619, 43]-code) | [i] | ||
| 4 | Linear OA(3181, 772, F3, 42) (dual of [772, 591, 43]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(3174, 743, F3, 44) (dual of [743, 569, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(3210, 796, F3, 48) (dual of [796, 586, 49]-code) | [i] | ✔ | |
| 7 | Linear OA(3214, 799, F3, 49) (dual of [799, 585, 50]-code) | [i] | ✔ | |
| 8 | Linear OA(3208, 790, F3, 48) (dual of [790, 582, 49]-code) | [i] | ✔ | |
| 9 | Linear OA(3213, 794, F3, 49) (dual of [794, 581, 50]-code) | [i] | ✔ | |
| 10 | Linear OA(3184, 759, F3, 45) (dual of [759, 575, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(3207, 787, F3, 48) (dual of [787, 580, 49]-code) | [i] | ✔ | |
| 12 | Linear OA(3211, 790, F3, 49) (dual of [790, 579, 50]-code) | [i] | ✔ | |
| 13 | Linear OA(3205, 781, F3, 48) (dual of [781, 576, 49]-code) | [i] | ✔ | |
| 14 | Linear OA(3210, 785, F3, 49) (dual of [785, 575, 50]-code) | [i] | ✔ | |
| 15 | Linear OA(3184, 753, F3, 46) (dual of [753, 569, 47]-code) | [i] | ✔ | |
| 16 | Linear OA(3182, 748, F3, 45) (dual of [748, 566, 46]-code) | [i] | ✔ | |
| 17 | Linear OA(3204, 778, F3, 48) (dual of [778, 574, 49]-code) | [i] | ✔ | |
| 18 | Linear OA(3208, 781, F3, 49) (dual of [781, 573, 50]-code) | [i] | ✔ | |
| 19 | Linear OA(3202, 772, F3, 48) (dual of [772, 570, 49]-code) | [i] | ✔ | |
| 20 | Linear OA(3201, 769, F3, 48) (dual of [769, 568, 49]-code) | [i] | ✔ | |
| 21 | Linear OA(3205, 772, F3, 49) (dual of [772, 567, 50]-code) | [i] | ✔ | |
| 22 | Linear OA(3199, 763, F3, 48) (dual of [763, 564, 49]-code) | [i] | ✔ | |
| 23 | Linear OA(3189, 752, F3, 47) (dual of [752, 563, 48]-code) | [i] | ✔ | |
| 24 | Linear OA(3197, 760, F3, 48) (dual of [760, 563, 49]-code) | [i] | ✔ | |
| 25 | Linear OA(3210, 771, F3, 50) (dual of [771, 561, 51]-code) | [i] | ✔ | |
| 26 | Linear OA(3196, 759, F3, 48) (dual of [759, 563, 49]-code) | [i] | ✔ | |
| 27 | Linear OA(3216, 778, F3, 51) (dual of [778, 562, 52]-code) | [i] | ✔ | |
| 28 | Linear OA(3220, 781, F3, 52) (dual of [781, 561, 53]-code) | [i] | ✔ | |
| 29 | Linear OA(3214, 772, F3, 51) (dual of [772, 558, 52]-code) | [i] | ✔ | |
| 30 | Linear OA(3215, 778, F3, 51) (dual of [778, 563, 52]-code) | [i] | ✔ | |
| 31 | Linear OA(3228, 789, F3, 53) (dual of [789, 561, 54]-code) | [i] | ✔ | |
| 32 | Linear OA(3227, 784, F3, 53) (dual of [784, 557, 54]-code) | [i] | ✔ | |
| 33 | Linear OA(3234, 796, F3, 54) (dual of [796, 562, 55]-code) | [i] | ✔ | |
| 34 | Linear OA(3238, 799, F3, 55) (dual of [799, 561, 56]-code) | [i] | ✔ | |
| 35 | Linear OA(3232, 790, F3, 54) (dual of [790, 558, 55]-code) | [i] | ✔ | |
| 36 | Linear OA(3237, 794, F3, 55) (dual of [794, 557, 56]-code) | [i] | ✔ | |
| 37 | Linear OOA(3165, 364, F3, 2, 42) (dual of [(364, 2), 563, 43]-NRT-code) | [i] | OOA Folding | |
| 38 | Linear OOA(3165, 242, F3, 3, 42) (dual of [(242, 3), 561, 43]-NRT-code) | [i] | ||
| 39 | Linear OOA(3165, 182, F3, 4, 42) (dual of [(182, 4), 563, 43]-NRT-code) | [i] | ||