Information on Result #1095921
Linear OOA(2208, 1677720, F2, 5, 19) (dual of [(1677720, 5), 8388392, 20]-NRT-code), using OOA 5-folding based on linear OA(2208, 8388600, F2, 19) (dual of [8388600, 8388392, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [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(2208, 1677720, F2, 5, 18) (dual of [(1677720, 5), 8388392, 19]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2213, 1677721, F2, 5, 19) (dual of [(1677721, 5), 8388392, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2209, 1677720, F2, 5, 19) (dual of [(1677720, 5), 8388391, 20]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2210, 1677720, F2, 5, 19) (dual of [(1677720, 5), 8388390, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(2211, 1677720, F2, 5, 19) (dual of [(1677720, 5), 8388389, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(2212, 1677720, F2, 5, 19) (dual of [(1677720, 5), 8388388, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(2217, 1677723, F2, 5, 19) (dual of [(1677723, 5), 8388398, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(2218, 1677725, F2, 5, 19) (dual of [(1677725, 5), 8388407, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(2219, 1677726, F2, 5, 19) (dual of [(1677726, 5), 8388411, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(2220, 1677727, F2, 5, 19) (dual of [(1677727, 5), 8388415, 20]-NRT-code) | [i] | ||
| 11 | Linear OOA(2221, 1677728, F2, 5, 19) (dual of [(1677728, 5), 8388419, 20]-NRT-code) | [i] | ||
| 12 | Linear OOA(2222, 1677730, F2, 5, 19) (dual of [(1677730, 5), 8388428, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(2223, 1677732, F2, 5, 19) (dual of [(1677732, 5), 8388437, 20]-NRT-code) | [i] | ||
| 14 | Linear OOA(2224, 1677734, F2, 5, 19) (dual of [(1677734, 5), 8388446, 20]-NRT-code) | [i] | ||
| 15 | Linear OOA(2225, 1677737, F2, 5, 19) (dual of [(1677737, 5), 8388460, 20]-NRT-code) | [i] | ||
| 16 | Linear OOA(2226, 1677740, F2, 5, 19) (dual of [(1677740, 5), 8388474, 20]-NRT-code) | [i] | ||
| 17 | Linear OOA(2227, 1677743, F2, 5, 19) (dual of [(1677743, 5), 8388488, 20]-NRT-code) | [i] | ||
| 18 | Linear OOA(2228, 1677746, F2, 5, 19) (dual of [(1677746, 5), 8388502, 20]-NRT-code) | [i] | ||
| 19 | Linear OOA(2229, 1677749, F2, 5, 19) (dual of [(1677749, 5), 8388516, 20]-NRT-code) | [i] | ||
| 20 | Linear OOA(2233, 1677754, F2, 5, 19) (dual of [(1677754, 5), 8388537, 20]-NRT-code) | [i] | ||
| 21 | Linear OOA(2234, 1677757, F2, 5, 19) (dual of [(1677757, 5), 8388551, 20]-NRT-code) | [i] | ||
| 22 | Linear OOA(2235, 1677760, F2, 5, 19) (dual of [(1677760, 5), 8388565, 20]-NRT-code) | [i] | ||
| 23 | Linear OOA(2236, 1677766, F2, 5, 19) (dual of [(1677766, 5), 8388594, 20]-NRT-code) | [i] | ||
| 24 | Linear OOA(2237, 1677769, F2, 5, 19) (dual of [(1677769, 5), 8388608, 20]-NRT-code) | [i] | ||
| 25 | Linear OOA(2238, 1677772, F2, 5, 19) (dual of [(1677772, 5), 8388622, 20]-NRT-code) | [i] | ||
| 26 | Linear OOA(2239, 1677778, F2, 5, 19) (dual of [(1677778, 5), 8388651, 20]-NRT-code) | [i] | ||
| 27 | Linear OOA(2241, 1677784, F2, 5, 19) (dual of [(1677784, 5), 8388679, 20]-NRT-code) | [i] | ||
| 28 | Linear OOA(2242, 1677786, F2, 5, 19) (dual of [(1677786, 5), 8388688, 20]-NRT-code) | [i] | ||
| 29 | Linear OOA(2243, 1677788, F2, 5, 19) (dual of [(1677788, 5), 8388697, 20]-NRT-code) | [i] | ||
| 30 | Linear OOA(2244, 1677792, F2, 5, 19) (dual of [(1677792, 5), 8388716, 20]-NRT-code) | [i] | ||
| 31 | Linear OOA(2245, 1677848, F2, 5, 19) (dual of [(1677848, 5), 8388995, 20]-NRT-code) | [i] | ||
| 32 | Linear OOA(2246, 1677850, F2, 5, 19) (dual of [(1677850, 5), 8389004, 20]-NRT-code) | [i] | ||
| 33 | Linear OOA(2247, 1677852, F2, 5, 19) (dual of [(1677852, 5), 8389013, 20]-NRT-code) | [i] | ||
| 34 | Linear OOA(2248, 1677853, F2, 5, 19) (dual of [(1677853, 5), 8389017, 20]-NRT-code) | [i] | ||
| 35 | Linear OOA(2249, 1677976, F2, 5, 19) (dual of [(1677976, 5), 8389631, 20]-NRT-code) | [i] | ||
| 36 | Linear OOA(2250, 1677978, F2, 5, 19) (dual of [(1677978, 5), 8389640, 20]-NRT-code) | [i] | ||
| 37 | Linear OOA(2251, 1677981, F2, 5, 19) (dual of [(1677981, 5), 8389654, 20]-NRT-code) | [i] | ||
| 38 | Linear OOA(2253, 1678232, F2, 5, 19) (dual of [(1678232, 5), 8390907, 20]-NRT-code) | [i] | ||
| 39 | Linear OOA(2254, 1678235, F2, 5, 19) (dual of [(1678235, 5), 8390921, 20]-NRT-code) | [i] | ||
| 40 | Linear OOA(2257, 1678744, F2, 5, 19) (dual of [(1678744, 5), 8393463, 20]-NRT-code) | [i] | ||
| 41 | Linear OOA(2258, 1678747, F2, 5, 19) (dual of [(1678747, 5), 8393477, 20]-NRT-code) | [i] | ||
| 42 | Linear OOA(2232, 1677750, F2, 5, 19) (dual of [(1677750, 5), 8388518, 20]-NRT-code) | [i] | ||
| 43 | Linear OOA(2236, 1677767, F2, 5, 19) (dual of [(1677767, 5), 8388599, 20]-NRT-code) | [i] | ||
| 44 | Linear OOA(2237, 1677780, F2, 5, 19) (dual of [(1677780, 5), 8388663, 20]-NRT-code) | [i] | ||
| 45 | Linear OOA(2238, 1677788, F2, 5, 19) (dual of [(1677788, 5), 8388702, 20]-NRT-code) | [i] | ||
| 46 | Linear OOA(2239, 1677791, F2, 5, 19) (dual of [(1677791, 5), 8388716, 20]-NRT-code) | [i] | ||
| 47 | Linear OOA(2240, 1677806, F2, 5, 19) (dual of [(1677806, 5), 8388790, 20]-NRT-code) | [i] | ||
| 48 | Linear OOA(2241, 1677820, F2, 5, 19) (dual of [(1677820, 5), 8388859, 20]-NRT-code) | [i] | ||
| 49 | Linear OOA(2242, 1677833, F2, 5, 19) (dual of [(1677833, 5), 8388923, 20]-NRT-code) | [i] | ||
| 50 | Linear OOA(2243, 1677848, F2, 5, 19) (dual of [(1677848, 5), 8388997, 20]-NRT-code) | [i] | ||
| 51 | Linear OOA(2244, 1677857, F2, 5, 19) (dual of [(1677857, 5), 8389041, 20]-NRT-code) | [i] | ||
| 52 | Linear OOA(2245, 1677891, F2, 5, 19) (dual of [(1677891, 5), 8389210, 20]-NRT-code) | [i] | ||
| 53 | Linear OOA(2246, 1677904, F2, 5, 19) (dual of [(1677904, 5), 8389274, 20]-NRT-code) | [i] | ||
| 54 | Linear OOA(2247, 1677927, F2, 5, 19) (dual of [(1677927, 5), 8389388, 20]-NRT-code) | [i] | ||
| 55 | Linear OOA(2248, 1677954, F2, 5, 19) (dual of [(1677954, 5), 8389522, 20]-NRT-code) | [i] | ||
| 56 | Linear OOA(2249, 1678061, F2, 5, 19) (dual of [(1678061, 5), 8390056, 20]-NRT-code) | [i] | ||
| 57 | Linear OOA(2250, 1678065, F2, 5, 19) (dual of [(1678065, 5), 8390075, 20]-NRT-code) | [i] | ||
| 58 | Linear OOA(2251, 1678068, F2, 5, 19) (dual of [(1678068, 5), 8390089, 20]-NRT-code) | [i] | ||
| 59 | Linear OOA(2252, 1678095, F2, 5, 19) (dual of [(1678095, 5), 8390223, 20]-NRT-code) | [i] | ||
| 60 | Linear OOA(2253, 1678403, F2, 5, 19) (dual of [(1678403, 5), 8391762, 20]-NRT-code) | [i] | ||
| 61 | Linear OOA(2254, 1678407, F2, 5, 19) (dual of [(1678407, 5), 8391781, 20]-NRT-code) | [i] | ||
| 62 | Linear OOA(2257, 1679085, F2, 5, 19) (dual of [(1679085, 5), 8395168, 20]-NRT-code) | [i] | ||