Information on Result #1131736
Linear OOA(2208, 1398100, F2, 6, 19) (dual of [(1398100, 6), 8388392, 20]-NRT-code), using OOA 6-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, 1398100, F2, 6, 18) (dual of [(1398100, 6), 8388392, 19]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2209, 1398100, F2, 6, 19) (dual of [(1398100, 6), 8388391, 20]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2210, 1398100, F2, 6, 19) (dual of [(1398100, 6), 8388390, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(2217, 1398103, F2, 6, 19) (dual of [(1398103, 6), 8388401, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2218, 1398105, F2, 6, 19) (dual of [(1398105, 6), 8388412, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(2219, 1398106, F2, 6, 19) (dual of [(1398106, 6), 8388417, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(2220, 1398107, F2, 6, 19) (dual of [(1398107, 6), 8388422, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(2221, 1398108, F2, 6, 19) (dual of [(1398108, 6), 8388427, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(2222, 1398110, F2, 6, 19) (dual of [(1398110, 6), 8388438, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(2223, 1398112, F2, 6, 19) (dual of [(1398112, 6), 8388449, 20]-NRT-code) | [i] | ||
| 11 | Linear OOA(2224, 1398114, F2, 6, 19) (dual of [(1398114, 6), 8388460, 20]-NRT-code) | [i] | ||
| 12 | Linear OOA(2225, 1398117, F2, 6, 19) (dual of [(1398117, 6), 8388477, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(2226, 1398120, F2, 6, 19) (dual of [(1398120, 6), 8388494, 20]-NRT-code) | [i] | ||
| 14 | Linear OOA(2227, 1398123, F2, 6, 19) (dual of [(1398123, 6), 8388511, 20]-NRT-code) | [i] | ||
| 15 | Linear OOA(2228, 1398126, F2, 6, 19) (dual of [(1398126, 6), 8388528, 20]-NRT-code) | [i] | ||
| 16 | Linear OOA(2229, 1398129, F2, 6, 19) (dual of [(1398129, 6), 8388545, 20]-NRT-code) | [i] | ||
| 17 | Linear OOA(2233, 1398134, F2, 6, 19) (dual of [(1398134, 6), 8388571, 20]-NRT-code) | [i] | ||
| 18 | Linear OOA(2234, 1398137, F2, 6, 19) (dual of [(1398137, 6), 8388588, 20]-NRT-code) | [i] | ||
| 19 | Linear OOA(2235, 1398140, F2, 6, 19) (dual of [(1398140, 6), 8388605, 20]-NRT-code) | [i] | ||
| 20 | Linear OOA(2236, 1398146, F2, 6, 19) (dual of [(1398146, 6), 8388640, 20]-NRT-code) | [i] | ||
| 21 | Linear OOA(2237, 1398149, F2, 6, 19) (dual of [(1398149, 6), 8388657, 20]-NRT-code) | [i] | ||
| 22 | Linear OOA(2238, 1398152, F2, 6, 19) (dual of [(1398152, 6), 8388674, 20]-NRT-code) | [i] | ||
| 23 | Linear OOA(2239, 1398158, F2, 6, 19) (dual of [(1398158, 6), 8388709, 20]-NRT-code) | [i] | ||
| 24 | Linear OOA(2241, 1398164, F2, 6, 19) (dual of [(1398164, 6), 8388743, 20]-NRT-code) | [i] | ||
| 25 | Linear OOA(2242, 1398166, F2, 6, 19) (dual of [(1398166, 6), 8388754, 20]-NRT-code) | [i] | ||
| 26 | Linear OOA(2243, 1398168, F2, 6, 19) (dual of [(1398168, 6), 8388765, 20]-NRT-code) | [i] | ||
| 27 | Linear OOA(2244, 1398172, F2, 6, 19) (dual of [(1398172, 6), 8388788, 20]-NRT-code) | [i] | ||
| 28 | Linear OOA(2245, 1398228, F2, 6, 19) (dual of [(1398228, 6), 8389123, 20]-NRT-code) | [i] | ||
| 29 | Linear OOA(2246, 1398230, F2, 6, 19) (dual of [(1398230, 6), 8389134, 20]-NRT-code) | [i] | ||
| 30 | Linear OOA(2247, 1398232, F2, 6, 19) (dual of [(1398232, 6), 8389145, 20]-NRT-code) | [i] | ||
| 31 | Linear OOA(2248, 1398233, F2, 6, 19) (dual of [(1398233, 6), 8389150, 20]-NRT-code) | [i] | ||
| 32 | Linear OOA(2249, 1398356, F2, 6, 19) (dual of [(1398356, 6), 8389887, 20]-NRT-code) | [i] | ||
| 33 | Linear OOA(2250, 1398358, F2, 6, 19) (dual of [(1398358, 6), 8389898, 20]-NRT-code) | [i] | ||
| 34 | Linear OOA(2251, 1398361, F2, 6, 19) (dual of [(1398361, 6), 8389915, 20]-NRT-code) | [i] | ||
| 35 | Linear OOA(2253, 1398612, F2, 6, 19) (dual of [(1398612, 6), 8391419, 20]-NRT-code) | [i] | ||
| 36 | Linear OOA(2254, 1398615, F2, 6, 19) (dual of [(1398615, 6), 8391436, 20]-NRT-code) | [i] | ||
| 37 | Linear OOA(2257, 1399124, F2, 6, 19) (dual of [(1399124, 6), 8394487, 20]-NRT-code) | [i] | ||
| 38 | Linear OOA(2258, 1399127, F2, 6, 19) (dual of [(1399127, 6), 8394504, 20]-NRT-code) | [i] | ||
| 39 | Linear OOA(2236, 1398147, F2, 6, 19) (dual of [(1398147, 6), 8388646, 20]-NRT-code) | [i] | ||
| 40 | Linear OOA(2237, 1398160, F2, 6, 19) (dual of [(1398160, 6), 8388723, 20]-NRT-code) | [i] | ||