Information on Result #704532
Linear OA(3117, 728, F3, 30) (dual of [728, 611, 31]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {334,335,…,363}, and designed minimum distance d ≥ |I|+1 = 31
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 OOA(3117, 511, F3, 2, 30) (dual of [(511, 2), 905, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3117, 511, F3, 3, 30) (dual of [(511, 3), 1416, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(3117, 511, F3, 4, 30) (dual of [(511, 4), 1927, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(3117, 511, F3, 5, 30) (dual of [(511, 5), 2438, 31]-NRT-code) | [i] | ||
| 5 | Digital (87, 117, 511)-net over F3 | [i] | ||
| 6 | Linear OA(3127, 771, F3, 30) (dual of [771, 644, 31]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(3128, 786, F3, 30) (dual of [786, 658, 31]-code) | [i] | ||
| 8 | Linear OA(3129, 805, F3, 30) (dual of [805, 676, 31]-code) | [i] | ||
| 9 | Linear OA(3130, 828, F3, 30) (dual of [828, 698, 31]-code) | [i] | ||
| 10 | Linear OA(3131, 854, F3, 30) (dual of [854, 723, 31]-code) | [i] | ||
| 11 | Linear OA(3132, 884, F3, 30) (dual of [884, 752, 31]-code) | [i] | ||
| 12 | Linear OA(3133, 916, F3, 30) (dual of [916, 783, 31]-code) | [i] | ||
| 13 | Linear OA(3134, 950, F3, 30) (dual of [950, 816, 31]-code) | [i] | ||
| 14 | Linear OA(3135, 986, F3, 30) (dual of [986, 851, 31]-code) | [i] | ||
| 15 | Linear OA(3140, 773, F3, 32) (dual of [773, 633, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 16 | Linear OA(3135, 767, F3, 32) (dual of [767, 632, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(3133, 764, F3, 32) (dual of [764, 631, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(3149, 783, F3, 33) (dual of [783, 634, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(3150, 783, F3, 34) (dual of [783, 633, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(3158, 791, F3, 35) (dual of [791, 633, 36]-code) | [i] | ✔ | |
| 21 | Linear OA(3145, 777, F3, 34) (dual of [777, 632, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(3143, 774, F3, 34) (dual of [774, 631, 35]-code) | [i] | ✔ | |
| 23 | Linear OA(3128, 748, F3, 32) (dual of [748, 620, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(3153, 785, F3, 35) (dual of [785, 632, 36]-code) | [i] | ✔ | |
| 25 | Linear OA(3159, 770, F3, 38) (dual of [770, 611, 39]-code) | [i] | ✔ | |
| 26 | Linear OA(3157, 764, F3, 38) (dual of [764, 607, 39]-code) | [i] | ✔ | |
| 27 | Linear OA(3169, 773, F3, 39) (dual of [773, 604, 40]-code) | [i] | ✔ | |
| 28 | Linear OA(3167, 774, F3, 40) (dual of [774, 607, 41]-code) | [i] | ✔ | |
| 29 | Linear OA(3177, 788, F3, 41) (dual of [788, 611, 42]-code) | [i] | ✔ | |
| 30 | Linear OA(3187, 791, F3, 42) (dual of [791, 604, 43]-code) | [i] | ✔ | |
| 31 | Linear OOA(3117, 364, F3, 2, 30) (dual of [(364, 2), 611, 31]-NRT-code) | [i] | OOA Folding | |
| 32 | Linear OOA(3117, 242, F3, 3, 30) (dual of [(242, 3), 609, 31]-NRT-code) | [i] | ||
| 33 | Linear OOA(3117, 182, F3, 4, 30) (dual of [(182, 4), 611, 31]-NRT-code) | [i] | ||
| 34 | Linear OOA(3117, 145, F3, 5, 30) (dual of [(145, 5), 608, 31]-NRT-code) | [i] | ||