Information on Result #989280
Linear OOA(6457, 2796201, F64, 3, 15) (dual of [(2796201, 3), 8388546, 16]-NRT-code), using OOA 3-folding based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(6460, 2796202, F64, 3, 15) (dual of [(2796202, 3), 8388546, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(6463, 2796203, F64, 3, 15) (dual of [(2796203, 3), 8388546, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(6458, 2796201, F64, 3, 15) (dual of [(2796201, 3), 8388545, 16]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(6459, 2796201, F64, 3, 15) (dual of [(2796201, 3), 8388544, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(4171, large, F4, 3, 15) | [i] | Trace Code for OOAs | |
| 6 | Linear OOA(8114, 5592402, F8, 3, 15) (dual of [(5592402, 3), 16777092, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(6464, 2796266, F64, 3, 15) (dual of [(2796266, 3), 8388734, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(6465, 2796281, F64, 3, 15) (dual of [(2796281, 3), 8388778, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(6467, 2796331, F64, 3, 15) (dual of [(2796331, 3), 8388926, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(6468, 2796346, F64, 3, 15) (dual of [(2796346, 3), 8388970, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(6469, 2796361, F64, 3, 15) (dual of [(2796361, 3), 8389014, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(6470, 2797567, F64, 3, 15) (dual of [(2797567, 3), 8392631, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(6471, 2797568, F64, 3, 15) (dual of [(2797568, 3), 8392633, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(6472, 2797569, F64, 3, 15) (dual of [(2797569, 3), 8392635, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(6473, 2798281, F64, 3, 15) (dual of [(2798281, 3), 8394770, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(6474, 2798933, F64, 3, 15) (dual of [(2798933, 3), 8396725, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(6475, 2798935, F64, 3, 15) (dual of [(2798935, 3), 8396730, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(6476, 2883583, F64, 3, 15) (dual of [(2883583, 3), 8650673, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(6477, 2883585, F64, 3, 15) (dual of [(2883585, 3), 8650678, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(6478, 2883586, F64, 3, 15) (dual of [(2883586, 3), 8650680, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(6479, 2883648, F64, 3, 15) (dual of [(2883648, 3), 8650865, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(6480, 2887680, F64, 3, 15) (dual of [(2887680, 3), 8662960, 16]-NRT-code) | [i] | ||
| 23 | Linear OOA(6481, 2891848, F64, 3, 15) (dual of [(2891848, 3), 8675463, 16]-NRT-code) | [i] | ||
| 24 | Linear OOA(6482, 5592402, F64, 3, 15) (dual of [(5592402, 3), 16777124, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(6469, 2796396, F64, 3, 15) (dual of [(2796396, 3), 8389119, 16]-NRT-code) | [i] | ||
| 26 | Linear OOA(6473, 2800361, F64, 3, 15) (dual of [(2800361, 3), 8401010, 16]-NRT-code) | [i] | ||
| 27 | Linear OOA(6474, 2800376, F64, 3, 15) (dual of [(2800376, 3), 8401054, 16]-NRT-code) | [i] | ||
| 28 | Linear OOA(6475, 2800391, F64, 3, 15) (dual of [(2800391, 3), 8401098, 16]-NRT-code) | [i] | ||
| 29 | OOA(6466, 2796330, S64, 3, 15) | [i] | ||
| 30 | OOA(6467, 2796458, S64, 3, 15) | [i] | ||
| 31 | OOA(6468, 2796459, S64, 3, 15) | [i] | ||
| 32 | OOA(6469, 2796460, S64, 3, 15) | [i] | ||
| 33 | OOA(6473, 2801663, S64, 3, 15) | [i] | ||
| 34 | OOA(6474, 2801664, S64, 3, 15) | [i] | ||
| 35 | OOA(6475, 2818047, S64, 3, 15) | [i] | ||
| 36 | OOA(6480, 3495252, S64, 3, 15) | [i] | ||
| 37 | OOA(6481, 3495254, S64, 3, 15) | [i] | ||
| 38 | Linear OOA(6490, 5592532, F64, 3, 15) (dual of [(5592532, 3), 16777506, 16]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 39 | Linear OOA(6491, 5592547, F64, 3, 15) (dual of [(5592547, 3), 16777550, 16]-NRT-code) | [i] | ||
| 40 | Linear OOA(6487, 5592467, F64, 3, 15) (dual of [(5592467, 3), 16777314, 16]-NRT-code) | [i] | ||
| 41 | Linear OOA(6488, 5592482, F64, 3, 15) (dual of [(5592482, 3), 16777358, 16]-NRT-code) | [i] | ||
| 42 | Linear OOA(6489, 5594418, F64, 3, 15) (dual of [(5594418, 3), 16783165, 16]-NRT-code) | [i] | ||
| 43 | Linear OOA(6491, 5594483, F64, 3, 15) (dual of [(5594483, 3), 16783358, 16]-NRT-code) | [i] | ||