Information on Result #1060586
Linear OOA(3181, 2097150, F3, 4, 19) (dual of [(2097150, 4), 8388419, 20]-NRT-code), using OOA 4-folding based on linear OA(3181, 8388600, F3, 19) (dual of [8388600, 8388419, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(3181, 2097150, F3, 4, 18) (dual of [(2097150, 4), 8388419, 19]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3182, 2097150, F3, 4, 19) (dual of [(2097150, 4), 8388418, 20]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3190, 2097154, F3, 4, 19) (dual of [(2097154, 4), 8388426, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(3191, 2097157, F3, 4, 19) (dual of [(2097157, 4), 8388437, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(3192, 2097158, F3, 4, 19) (dual of [(2097158, 4), 8388440, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(3193, 2097160, F3, 4, 19) (dual of [(2097160, 4), 8388447, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(3194, 2097163, F3, 4, 19) (dual of [(2097163, 4), 8388458, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(3195, 2097165, F3, 4, 19) (dual of [(2097165, 4), 8388465, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(3196, 2097166, F3, 4, 19) (dual of [(2097166, 4), 8388468, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(3197, 2097168, F3, 4, 19) (dual of [(2097168, 4), 8388475, 20]-NRT-code) | [i] | ||
| 11 | Linear OOA(3198, 2097170, F3, 4, 19) (dual of [(2097170, 4), 8388482, 20]-NRT-code) | [i] | ||
| 12 | Linear OOA(3199, 2097171, F3, 4, 19) (dual of [(2097171, 4), 8388485, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(3200, 2097176, F3, 4, 19) (dual of [(2097176, 4), 8388504, 20]-NRT-code) | [i] | ||
| 14 | Linear OOA(3201, 2097182, F3, 4, 19) (dual of [(2097182, 4), 8388527, 20]-NRT-code) | [i] | ||
| 15 | Linear OOA(3203, 2097190, F3, 4, 19) (dual of [(2097190, 4), 8388557, 20]-NRT-code) | [i] | ||
| 16 | Linear OOA(3205, 2097206, F3, 4, 19) (dual of [(2097206, 4), 8388619, 20]-NRT-code) | [i] | ||
| 17 | Linear OOA(3207, 2097210, F3, 4, 19) (dual of [(2097210, 4), 8388633, 20]-NRT-code) | [i] | ||
| 18 | Linear OOA(3208, 2097234, F3, 4, 19) (dual of [(2097234, 4), 8388728, 20]-NRT-code) | [i] | ||
| 19 | Linear OOA(3211, 2097264, F3, 4, 19) (dual of [(2097264, 4), 8388845, 20]-NRT-code) | [i] | ||
| 20 | Linear OOA(3214, 2097294, F3, 4, 19) (dual of [(2097294, 4), 8388962, 20]-NRT-code) | [i] | ||
| 21 | Linear OOA(3215, 2097314, F3, 4, 19) (dual of [(2097314, 4), 8389041, 20]-NRT-code) | [i] | ||
| 22 | Linear OOA(3217, 2097478, F3, 4, 19) (dual of [(2097478, 4), 8389695, 20]-NRT-code) | [i] | ||
| 23 | Linear OOA(3221, 2097550, F3, 4, 19) (dual of [(2097550, 4), 8389979, 20]-NRT-code) | [i] | ||
| 24 | Linear OOA(3181, 2097150, F3, 5, 19) (dual of [(2097150, 5), 10485569, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 25 | Digital (162, 181, 2097150)-net over F3 | [i] | ||