Information on Result #1131187
Linear OOA(2162, 1398100, F2, 6, 15) (dual of [(1398100, 6), 8388438, 16]-NRT-code), using OOA 6-folding based on linear OA(2162, 8388600, F2, 15) (dual of [8388600, 8388438, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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(2162, 1398100, F2, 6, 14) (dual of [(1398100, 6), 8388438, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2163, 1398100, F2, 6, 15) (dual of [(1398100, 6), 8388437, 16]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2164, 1398100, F2, 6, 15) (dual of [(1398100, 6), 8388436, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(2169, 1398103, F2, 6, 15) (dual of [(1398103, 6), 8388449, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2170, 1398105, F2, 6, 15) (dual of [(1398105, 6), 8388460, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(2171, 1398106, F2, 6, 15) (dual of [(1398106, 6), 8388465, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(2172, 1398107, F2, 6, 15) (dual of [(1398107, 6), 8388470, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(2173, 1398111, F2, 6, 15) (dual of [(1398111, 6), 8388493, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(2174, 1398113, F2, 6, 15) (dual of [(1398113, 6), 8388504, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(2175, 1398116, F2, 6, 15) (dual of [(1398116, 6), 8388521, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(2176, 1398120, F2, 6, 15) (dual of [(1398120, 6), 8388544, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(2177, 1398123, F2, 6, 15) (dual of [(1398123, 6), 8388561, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(2178, 1398128, F2, 6, 15) (dual of [(1398128, 6), 8388590, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(2179, 1398134, F2, 6, 15) (dual of [(1398134, 6), 8388625, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(2180, 1398141, F2, 6, 15) (dual of [(1398141, 6), 8388666, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(2181, 1398147, F2, 6, 15) (dual of [(1398147, 6), 8388701, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(2182, 1398162, F2, 6, 15) (dual of [(1398162, 6), 8388790, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(2183, 1398164, F2, 6, 15) (dual of [(1398164, 6), 8388801, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(2185, 1398227, F2, 6, 15) (dual of [(1398227, 6), 8389177, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(2188, 1398354, F2, 6, 15) (dual of [(1398354, 6), 8389936, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(2191, 1398610, F2, 6, 15) (dual of [(1398610, 6), 8391469, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(2194, 1399122, F2, 6, 15) (dual of [(1399122, 6), 8394538, 16]-NRT-code) | [i] | ||
| 23 | Linear OOA(2197, 1400147, F2, 6, 15) (dual of [(1400147, 6), 8400685, 16]-NRT-code) | [i] | ||
| 24 | Linear OOA(2200, 1402194, F2, 6, 15) (dual of [(1402194, 6), 8412964, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(2203, 1406291, F2, 6, 15) (dual of [(1406291, 6), 8437543, 16]-NRT-code) | [i] | ||
| 26 | Linear OOA(2206, 1414482, F2, 6, 15) (dual of [(1414482, 6), 8486686, 16]-NRT-code) | [i] | ||
| 27 | Linear OOA(2209, 1430866, F2, 6, 15) (dual of [(1430866, 6), 8584987, 16]-NRT-code) | [i] | ||
| 28 | Linear OOA(2212, 1463634, F2, 6, 15) (dual of [(1463634, 6), 8781592, 16]-NRT-code) | [i] | ||
| 29 | Linear OOA(2215, 1529171, F2, 6, 15) (dual of [(1529171, 6), 9174811, 16]-NRT-code) | [i] | ||
| 30 | Linear OOA(2218, 1660242, F2, 6, 15) (dual of [(1660242, 6), 9961234, 16]-NRT-code) | [i] | ||
| 31 | Linear OOA(2221, 1922387, F2, 6, 15) (dual of [(1922387, 6), 11534101, 16]-NRT-code) | [i] | ||
| 32 | Linear OOA(2224, 2446674, F2, 6, 15) (dual of [(2446674, 6), 14679820, 16]-NRT-code) | [i] | ||
| 33 | Linear OOA(2227, 2796200, F2, 6, 15) (dual of [(2796200, 6), 16776973, 16]-NRT-code) | [i] | ||
| 34 | Linear OOA(2162, 1398100, F2, 7, 15) (dual of [(1398100, 7), 9786538, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 35 | Linear OOA(2162, 1398100, F2, 8, 15) (dual of [(1398100, 8), 11184638, 16]-NRT-code) | [i] | ||
| 36 | Digital (147, 162, 1398100)-net over F2 | [i] | ||