Information on Result #704081
Linear OA(3211, 728, F3, 55) (dual of [728, 517, 56]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,391}, and designed minimum distance d ≥ |I|+1 = 56
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3211, 728, F3, 54) (dual of [728, 517, 55]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3212, 729, F3, 55) (dual of [729, 517, 56]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3210, 727, F3, 54) (dual of [727, 517, 55]-code) | [i] | Truncation | |
| 4 | Linear OA(3238, 756, F3, 55) (dual of [756, 518, 56]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(3212, 735, F3, 54) (dual of [735, 523, 55]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(3213, 732, F3, 55) (dual of [732, 519, 56]-code) | [i] | ✔ | |
| 7 | Linear OA(3214, 737, F3, 55) (dual of [737, 523, 56]-code) | [i] | ✔ | |
| 8 | Linear OA(3218, 747, F3, 55) (dual of [747, 529, 56]-code) | [i] | ✔ | |
| 9 | Linear OA(3216, 745, F3, 54) (dual of [745, 529, 55]-code) | [i] | ✔ | |
| 10 | Linear OA(3219, 754, F3, 55) (dual of [754, 535, 56]-code) | [i] | ✔ | |
| 11 | Linear OA(3226, 767, F3, 55) (dual of [767, 541, 56]-code) | [i] | ✔ | |
| 12 | Linear OA(3230, 776, F3, 55) (dual of [776, 546, 56]-code) | [i] | ✔ | |
| 13 | Linear OA(3231, 778, F3, 55) (dual of [778, 547, 56]-code) | [i] | ✔ | |
| 14 | Linear OA(3226, 769, F3, 54) (dual of [769, 543, 55]-code) | [i] | ✔ | |
| 15 | Linear OA(3227, 772, F3, 54) (dual of [772, 545, 55]-code) | [i] | ✔ | |
| 16 | Linear OA(3228, 775, F3, 54) (dual of [775, 547, 55]-code) | [i] | ✔ | |
| 17 | Linear OA(3236, 789, F3, 55) (dual of [789, 553, 56]-code) | [i] | ✔ | |
| 18 | Linear OA(3238, 797, F3, 55) (dual of [797, 559, 56]-code) | [i] | ✔ | |
| 19 | Linear OA(3236, 795, F3, 54) (dual of [795, 559, 55]-code) | [i] | ✔ | |
| 20 | Linear OA(3242, 807, F3, 55) (dual of [807, 565, 56]-code) | [i] | ✔ | |
| 21 | Linear OA(3242, 809, F3, 54) (dual of [809, 567, 55]-code) | [i] | ✔ | |
| 22 | Linear OA(3214, 731, F3, 56) (dual of [731, 517, 57]-code) | [i] | ✔ | |
| 23 | Linear OA(3218, 735, F3, 57) (dual of [735, 517, 58]-code) | [i] | ✔ | |
| 24 | Linear OA(3228, 745, F3, 59) (dual of [745, 517, 60]-code) | [i] | ✔ | |
| 25 | Linear OA(3236, 753, F3, 60) (dual of [753, 517, 61]-code) | [i] | ✔ | |
| 26 | Linear OA(3237, 754, F3, 61) (dual of [754, 517, 62]-code) | [i] | ✔ | |
| 27 | Linear OA(3233, 791, F3, 54) (dual of [791, 558, 55]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 28 | Linear OA(3232, 784, F3, 54) (dual of [784, 552, 55]-code) | [i] | ✔ | |
| 29 | Linear OA(3229, 784, F3, 55) (dual of [784, 555, 56]-code) | [i] | ✔ | |
| 30 | Linear OA(3228, 782, F3, 55) (dual of [782, 554, 56]-code) | [i] | ✔ | |
| 31 | Linear OA(3227, 780, F3, 55) (dual of [780, 553, 56]-code) | [i] | ✔ | |
| 32 | Linear OA(3226, 773, F3, 55) (dual of [773, 547, 56]-code) | [i] | ✔ | |
| 33 | Linear OA(3224, 771, F3, 54) (dual of [771, 547, 55]-code) | [i] | ✔ | |
| 34 | Linear OA(3224, 767, F3, 55) (dual of [767, 543, 56]-code) | [i] | ✔ | |
| 35 | Linear OA(3222, 765, F3, 54) (dual of [765, 543, 55]-code) | [i] | ✔ | |
| 36 | Linear OA(3223, 765, F3, 55) (dual of [765, 542, 56]-code) | [i] | ✔ | |
| 37 | Linear OA(3221, 763, F3, 54) (dual of [763, 542, 55]-code) | [i] | ✔ | |
| 38 | Linear OA(3222, 763, F3, 55) (dual of [763, 541, 56]-code) | [i] | ✔ | |
| 39 | Linear OA(3220, 761, F3, 54) (dual of [761, 541, 55]-code) | [i] | ✔ | |
| 40 | Linear OA(3237, 777, F3, 57) (dual of [777, 540, 58]-code) | [i] | ✔ | |
| 41 | Linear OA(3222, 757, F3, 56) (dual of [757, 535, 57]-code) | [i] | ✔ | |
| 42 | Linear OA(3246, 785, F3, 59) (dual of [785, 539, 60]-code) | [i] | ✔ | |
| 43 | Linear OA(3221, 750, F3, 56) (dual of [750, 529, 57]-code) | [i] | ✔ | |
| 44 | Linear OA(3231, 766, F3, 58) (dual of [766, 535, 59]-code) | [i] | ✔ | |
| 45 | Linear OA(3229, 764, F3, 57) (dual of [764, 535, 58]-code) | [i] | ✔ | |
| 46 | Linear OA(3217, 746, F3, 55) (dual of [746, 529, 56]-code) | [i] | ✔ | |
| 47 | Linear OA(3215, 744, F3, 54) (dual of [744, 529, 55]-code) | [i] | ✔ | |
| 48 | Linear OA(3239, 774, F3, 59) (dual of [774, 535, 60]-code) | [i] | ✔ | |
| 49 | Linear OA(3217, 740, F3, 56) (dual of [740, 523, 57]-code) | [i] | ✔ | |
| 50 | Linear OA(3216, 735, F3, 56) (dual of [735, 519, 57]-code) | [i] | ✔ | |
| 51 | Linear OA(3250, 785, F3, 61) (dual of [785, 535, 62]-code) | [i] | ✔ | |
| 52 | Linear OA(3248, 782, F3, 61) (dual of [782, 534, 62]-code) | [i] | ✔ | |
| 53 | Linear OA(3217, 734, F3, 57) (dual of [734, 517, 58]-code) | [i] | ✔ | |
| 54 | Linear OA(3226, 743, F3, 59) (dual of [743, 517, 60]-code) | [i] | ✔ | |
| 55 | Linear OA(3234, 751, F3, 60) (dual of [751, 517, 61]-code) | [i] | ✔ | |
| 56 | Linear OA(3245, 762, F3, 62) (dual of [762, 517, 63]-code) | [i] | ✔ | |
| 57 | Linear OA(3243, 759, F3, 62) (dual of [759, 516, 63]-code) | [i] | ✔ | |
| 58 | Linear OA(3235, 752, F3, 61) (dual of [752, 517, 62]-code) | [i] | ✔ | |
| 59 | Linear OA(3233, 750, F3, 60) (dual of [750, 517, 61]-code) | [i] | ✔ | |
| 60 | Linear OA(3243, 760, F3, 62) (dual of [760, 517, 63]-code) | [i] | ✔ | |
| 61 | Linear OA(3250, 766, F3, 63) (dual of [766, 516, 64]-code) | [i] | ✔ | |
| 62 | Linear OOA(3211, 364, F3, 2, 55) (dual of [(364, 2), 517, 56]-NRT-code) | [i] | OOA Folding | |
| 63 | Linear OOA(3211, 242, F3, 3, 55) (dual of [(242, 3), 515, 56]-NRT-code) | [i] | ||
| 64 | Linear OOA(3211, 182, F3, 4, 55) (dual of [(182, 4), 517, 56]-NRT-code) | [i] | ||