Information on Result #989156
Linear OOA(6441, 2796201, F64, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using OOA 3-folding based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(6444, 2796202, F64, 3, 11) (dual of [(2796202, 3), 8388562, 12]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(6442, 2796201, F64, 3, 11) (dual of [(2796201, 3), 8388561, 12]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(6443, 2796201, F64, 3, 11) (dual of [(2796201, 3), 8388560, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(4123, large, F4, 3, 11) | [i] | Trace Code for OOAs | |
| 5 | Linear OOA(882, 5592402, F8, 3, 11) (dual of [(5592402, 3), 16777124, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(6446, 2796266, F64, 3, 11) (dual of [(2796266, 3), 8388752, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(6447, 2796281, F64, 3, 11) (dual of [(2796281, 3), 8388796, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(6448, 2798217, F64, 3, 11) (dual of [(2798217, 3), 8394603, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(6450, 2798282, F64, 3, 11) (dual of [(2798282, 3), 8394796, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(6451, 2800360, F64, 3, 11) (dual of [(2800360, 3), 8401029, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(6452, 2802250, F64, 3, 11) (dual of [(2802250, 3), 8406698, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(6453, 2804266, F64, 3, 11) (dual of [(2804266, 3), 8412745, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(6454, 2927274, F64, 3, 11) (dual of [(2927274, 3), 8781768, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(6455, 2927277, F64, 3, 11) (dual of [(2927277, 3), 8781776, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(6456, 2929384, F64, 3, 11) (dual of [(2929384, 3), 8788096, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(6457, 3062440, F64, 3, 11) (dual of [(3062440, 3), 9187263, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(6458, 5592402, F64, 3, 11) (dual of [(5592402, 3), 16777148, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(6451, 2800361, F64, 3, 11) (dual of [(2800361, 3), 8401032, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(6456, 2929385, F64, 3, 11) (dual of [(2929385, 3), 8788099, 12]-NRT-code) | [i] | ||
| 20 | Linear OOA(6457, 3062441, F64, 3, 11) (dual of [(3062441, 3), 9187266, 12]-NRT-code) | [i] | ||
| 21 | OOA(6447, 2796330, S64, 3, 11) | [i] | ||
| 22 | OOA(6450, 2804329, S64, 3, 11) | [i] | ||
| 23 | OOA(6451, 2828841, S64, 3, 11) | [i] | ||
| 24 | OOA(6453, 2829098, S64, 3, 11) | [i] | ||
| 25 | OOA(6457, 3844778, S64, 3, 11) | [i] | ||
| 26 | Linear OOA(6474, large, F64, 3, 11) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 27 | Linear OOA(6473, 5863259, F64, 3, 11) (dual of [(5863259, 3), 17589704, 12]-NRT-code) | [i] | ||
| 28 | Linear OOA(6472, 5863194, F64, 3, 11) (dual of [(5863194, 3), 17589510, 12]-NRT-code) | [i] | ||
| 29 | Linear OOA(6473, 5867290, F64, 3, 11) (dual of [(5867290, 3), 17601797, 12]-NRT-code) | [i] | ||
| 30 | Linear OOA(6473, large, F64, 3, 11) | [i] | ||
| 31 | Linear OOA(6471, 5863129, F64, 3, 11) (dual of [(5863129, 3), 17589316, 12]-NRT-code) | [i] | ||
| 32 | Linear OOA(6472, 5867225, F64, 3, 11) (dual of [(5867225, 3), 17601603, 12]-NRT-code) | [i] | ||
| 33 | Linear OOA(6472, large, F64, 3, 11) | [i] | ||
| 34 | Linear OOA(6470, 5612887, F64, 3, 11) (dual of [(5612887, 3), 16838591, 12]-NRT-code) | [i] | ||
| 35 | Linear OOA(6470, 5863064, F64, 3, 11) (dual of [(5863064, 3), 17589122, 12]-NRT-code) | [i] | ||
| 36 | Linear OOA(6471, 5867160, F64, 3, 11) (dual of [(5867160, 3), 17601409, 12]-NRT-code) | [i] | ||
| 37 | Linear OOA(6471, large, F64, 3, 11) | [i] | ||
| 38 | Linear OOA(6467, 5596694, F64, 3, 11) (dual of [(5596694, 3), 16790015, 12]-NRT-code) | [i] | ||
| 39 | Linear OOA(6468, 5600726, F64, 3, 11) (dual of [(5600726, 3), 16802110, 12]-NRT-code) | [i] | ||
| 40 | Linear OOA(6469, 5608790, F64, 3, 11) (dual of [(5608790, 3), 16826301, 12]-NRT-code) | [i] | ||
| 41 | Linear OOA(6468, 5600862, F64, 3, 11) (dual of [(5600862, 3), 16802518, 12]-NRT-code) | [i] | ||
| 42 | Linear OOA(6469, 5862999, F64, 3, 11) (dual of [(5862999, 3), 17588928, 12]-NRT-code) | [i] | ||
| 43 | Linear OOA(6470, 5867095, F64, 3, 11) (dual of [(5867095, 3), 17601215, 12]-NRT-code) | [i] | ||
| 44 | Linear OOA(6470, large, F64, 3, 11) | [i] | ||
| 45 | Linear OOA(6466, 5596629, F64, 3, 11) (dual of [(5596629, 3), 16789821, 12]-NRT-code) | [i] | ||
| 46 | Linear OOA(6467, 5600661, F64, 3, 11) (dual of [(5600661, 3), 16801916, 12]-NRT-code) | [i] | ||
| 47 | Linear OOA(6468, 5604693, F64, 3, 11) (dual of [(5604693, 3), 16814011, 12]-NRT-code) | [i] | ||
| 48 | Linear OOA(6467, 5600797, F64, 3, 11) (dual of [(5600797, 3), 16802324, 12]-NRT-code) | [i] | ||
| 49 | Linear OOA(6468, 5604893, F64, 3, 11) (dual of [(5604893, 3), 16814611, 12]-NRT-code) | [i] | ||
| 50 | Linear OOA(6468, 5862934, F64, 3, 11) (dual of [(5862934, 3), 17588734, 12]-NRT-code) | [i] | ||
| 51 | Linear OOA(6469, 5867030, F64, 3, 11) (dual of [(5867030, 3), 17601021, 12]-NRT-code) | [i] | ||
| 52 | Linear OOA(6469, large, F64, 3, 11) | [i] | ||
| 53 | Linear OOA(6464, 5596564, F64, 3, 11) (dual of [(5596564, 3), 16789628, 12]-NRT-code) | [i] | ||
| 54 | Linear OOA(6465, 5600596, F64, 3, 11) (dual of [(5600596, 3), 16801723, 12]-NRT-code) | [i] | ||
| 55 | Linear OOA(6465, 5600732, F64, 3, 11) (dual of [(5600732, 3), 16802131, 12]-NRT-code) | [i] | ||
| 56 | Linear OOA(6466, 5604828, F64, 3, 11) (dual of [(5604828, 3), 16814418, 12]-NRT-code) | [i] | ||
| 57 | Linear OOA(6467, 5608932, F64, 3, 11) (dual of [(5608932, 3), 16826729, 12]-NRT-code) | [i] | ||
| 58 | Linear OOA(6466, 5862869, F64, 3, 11) (dual of [(5862869, 3), 17588541, 12]-NRT-code) | [i] | ||
| 59 | Linear OOA(6467, 5866965, F64, 3, 11) (dual of [(5866965, 3), 17600828, 12]-NRT-code) | [i] | ||
| 60 | Linear OOA(6468, 6129109, F64, 3, 11) (dual of [(6129109, 3), 18387259, 12]-NRT-code) | [i] | ||
| 61 | Linear OOA(6467, large, F64, 3, 11) | [i] | ||
| 62 | Linear OOA(6461, 5592467, F64, 3, 11) (dual of [(5592467, 3), 16777340, 12]-NRT-code) | [i] | ||
| 63 | Linear OOA(6462, 5596499, F64, 3, 11) (dual of [(5596499, 3), 16789435, 12]-NRT-code) | [i] | ||
| 64 | Linear OOA(6463, 5600667, F64, 3, 11) (dual of [(5600667, 3), 16801938, 12]-NRT-code) | [i] | ||
| 65 | Linear OOA(6464, 5862804, F64, 3, 11) (dual of [(5862804, 3), 17588348, 12]-NRT-code) | [i] | ||
| 66 | Linear OOA(6465, large, F64, 3, 11) | [i] | ||