Information on Result #1051736
Linear OOA(2162, 2097150, F2, 4, 15) (dual of [(2097150, 4), 8388438, 16]-NRT-code), using OOA 4-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, 2097150, F2, 4, 14) (dual of [(2097150, 4), 8388438, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2163, 2097150, F2, 4, 15) (dual of [(2097150, 4), 8388437, 16]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2169, 2097153, F2, 4, 15) (dual of [(2097153, 4), 8388443, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(2170, 2097155, F2, 4, 15) (dual of [(2097155, 4), 8388450, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(2171, 2097156, F2, 4, 15) (dual of [(2097156, 4), 8388453, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(2172, 2097157, F2, 4, 15) (dual of [(2097157, 4), 8388456, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(2173, 2097161, F2, 4, 15) (dual of [(2097161, 4), 8388471, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(2174, 2097163, F2, 4, 15) (dual of [(2097163, 4), 8388478, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(2175, 2097166, F2, 4, 15) (dual of [(2097166, 4), 8388489, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(2176, 2097170, F2, 4, 15) (dual of [(2097170, 4), 8388504, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(2177, 2097173, F2, 4, 15) (dual of [(2097173, 4), 8388515, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(2178, 2097178, F2, 4, 15) (dual of [(2097178, 4), 8388534, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(2179, 2097184, F2, 4, 15) (dual of [(2097184, 4), 8388557, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(2180, 2097191, F2, 4, 15) (dual of [(2097191, 4), 8388584, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(2181, 2097197, F2, 4, 15) (dual of [(2097197, 4), 8388607, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(2182, 2097212, F2, 4, 15) (dual of [(2097212, 4), 8388666, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(2183, 2097214, F2, 4, 15) (dual of [(2097214, 4), 8388673, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(2185, 2097277, F2, 4, 15) (dual of [(2097277, 4), 8388923, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(2188, 2097404, F2, 4, 15) (dual of [(2097404, 4), 8389428, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(2191, 2097660, F2, 4, 15) (dual of [(2097660, 4), 8390449, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(2194, 2098172, F2, 4, 15) (dual of [(2098172, 4), 8392494, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(2197, 2099197, F2, 4, 15) (dual of [(2099197, 4), 8396591, 16]-NRT-code) | [i] | ||
| 23 | Linear OOA(2200, 2101244, F2, 4, 15) (dual of [(2101244, 4), 8404776, 16]-NRT-code) | [i] | ||
| 24 | Linear OOA(2203, 2105341, F2, 4, 15) (dual of [(2105341, 4), 8421161, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(2206, 2113532, F2, 4, 15) (dual of [(2113532, 4), 8453922, 16]-NRT-code) | [i] | ||
| 26 | Linear OOA(2209, 2129916, F2, 4, 15) (dual of [(2129916, 4), 8519455, 16]-NRT-code) | [i] | ||
| 27 | Linear OOA(2212, 2162684, F2, 4, 15) (dual of [(2162684, 4), 8650524, 16]-NRT-code) | [i] | ||
| 28 | Linear OOA(2215, 2228221, F2, 4, 15) (dual of [(2228221, 4), 8912669, 16]-NRT-code) | [i] | ||
| 29 | Linear OOA(2218, 2359292, F2, 4, 15) (dual of [(2359292, 4), 9436950, 16]-NRT-code) | [i] | ||
| 30 | Linear OOA(2221, 2621437, F2, 4, 15) (dual of [(2621437, 4), 10485527, 16]-NRT-code) | [i] | ||
| 31 | Linear OOA(2224, 3145724, F2, 4, 15) (dual of [(3145724, 4), 12582672, 16]-NRT-code) | [i] | ||
| 32 | Linear OOA(2227, 4194300, F2, 4, 15) (dual of [(4194300, 4), 16776973, 16]-NRT-code) | [i] | ||
| 33 | Linear OOA(2182, 2097213, F2, 4, 15) (dual of [(2097213, 4), 8388670, 16]-NRT-code) | [i] | ||
| 34 | Linear OOA(2188, 2097405, F2, 4, 15) (dual of [(2097405, 4), 8389432, 16]-NRT-code) | [i] | ||
| 35 | Linear OOA(2191, 2097661, F2, 4, 15) (dual of [(2097661, 4), 8390453, 16]-NRT-code) | [i] | ||
| 36 | Linear OOA(2194, 2098173, F2, 4, 15) (dual of [(2098173, 4), 8392498, 16]-NRT-code) | [i] | ||
| 37 | Linear OOA(2200, 2101245, F2, 4, 15) (dual of [(2101245, 4), 8404780, 16]-NRT-code) | [i] | ||
| 38 | Linear OOA(2206, 2113533, F2, 4, 15) (dual of [(2113533, 4), 8453926, 16]-NRT-code) | [i] | ||