Information on Result #1059856
Linear OOA(3121, 2097150, F3, 4, 13) (dual of [(2097150, 4), 8388479, 14]-NRT-code), using OOA 4-folding based on linear OA(3121, 8388600, F3, 13) (dual of [8388600, 8388479, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3121, 2097150, F3, 4, 12) (dual of [(2097150, 4), 8388479, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3122, 2097150, F3, 4, 13) (dual of [(2097150, 4), 8388478, 14]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3127, 2097154, F3, 4, 13) (dual of [(2097154, 4), 8388489, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(3128, 2097157, F3, 4, 13) (dual of [(2097157, 4), 8388500, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(3129, 2097159, F3, 4, 13) (dual of [(2097159, 4), 8388507, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(3130, 2097163, F3, 4, 13) (dual of [(2097163, 4), 8388522, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(3131, 2097169, F3, 4, 13) (dual of [(2097169, 4), 8388545, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(3132, 2097175, F3, 4, 13) (dual of [(2097175, 4), 8388568, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(3133, 2097183, F3, 4, 13) (dual of [(2097183, 4), 8388599, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(3134, 2097192, F3, 4, 13) (dual of [(2097192, 4), 8388634, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(3137, 2097196, F3, 4, 13) (dual of [(2097196, 4), 8388647, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(3138, 2097203, F3, 4, 13) (dual of [(2097203, 4), 8388674, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(3139, 2097234, F3, 4, 13) (dual of [(2097234, 4), 8388797, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(3141, 2097240, F3, 4, 13) (dual of [(2097240, 4), 8388819, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(3142, 2097264, F3, 4, 13) (dual of [(2097264, 4), 8388914, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(3143, 2097314, F3, 4, 13) (dual of [(2097314, 4), 8389113, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(3145, 2097478, F3, 4, 13) (dual of [(2097478, 4), 8389767, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(3148, 2097514, F3, 4, 13) (dual of [(2097514, 4), 8389908, 14]-NRT-code) | [i] | ||
| 19 | Linear OOA(3149, 2097879, F3, 4, 13) (dual of [(2097879, 4), 8391367, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(3150, 2097881, F3, 4, 13) (dual of [(2097881, 4), 8391374, 14]-NRT-code) | [i] | ||
| 21 | Linear OOA(3151, 2097884, F3, 4, 13) (dual of [(2097884, 4), 8391385, 14]-NRT-code) | [i] | ||
| 22 | Linear OOA(3153, 2099337, F3, 4, 13) (dual of [(2099337, 4), 8397195, 14]-NRT-code) | [i] | ||
| 23 | Linear OOA(3154, 2099340, F3, 4, 13) (dual of [(2099340, 4), 8397206, 14]-NRT-code) | [i] | ||
| 24 | Linear OOA(3155, 2099343, F3, 4, 13) (dual of [(2099343, 4), 8397217, 14]-NRT-code) | [i] | ||
| 25 | Linear OOA(3173, 2628591, F3, 4, 13) (dual of [(2628591, 4), 10514191, 14]-NRT-code) | [i] | ||
| 26 | Linear OOA(3174, 2628595, F3, 4, 13) (dual of [(2628595, 4), 10514206, 14]-NRT-code) | [i] | ||
| 27 | Linear OOA(3175, 2628600, F3, 4, 13) (dual of [(2628600, 4), 10514225, 14]-NRT-code) | [i] | ||
| 28 | Linear OOA(3177, 3691473, F3, 4, 13) (dual of [(3691473, 4), 14765715, 14]-NRT-code) | [i] | ||
| 29 | Linear OOA(3188, 4194326, F3, 4, 13) (dual of [(4194326, 4), 16777116, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 30 | Linear OOA(3189, 4194341, F3, 4, 13) (dual of [(4194341, 4), 16777175, 14]-NRT-code) | [i] | ||
| 31 | Linear OOA(3190, 4194380, F3, 4, 13) (dual of [(4194380, 4), 16777330, 14]-NRT-code) | [i] | ||
| 32 | Linear OOA(3191, 4194421, F3, 4, 13) (dual of [(4194421, 4), 16777493, 14]-NRT-code) | [i] | ||
| 33 | Linear OOA(3192, 4194542, F3, 4, 13) (dual of [(4194542, 4), 16777976, 14]-NRT-code) | [i] | ||
| 34 | Linear OOA(3193, 4194665, F3, 4, 13) (dual of [(4194665, 4), 16778467, 14]-NRT-code) | [i] | ||
| 35 | Linear OOA(3194, 4195028, F3, 4, 13) (dual of [(4195028, 4), 16779918, 14]-NRT-code) | [i] | ||
| 36 | Linear OOA(3195, 4195393, F3, 4, 13) (dual of [(4195393, 4), 16781377, 14]-NRT-code) | [i] | ||