Information on Result #1051322
Linear OOA(2116, 2097150, F2, 4, 11) (dual of [(2097150, 4), 8388484, 12]-NRT-code), using OOA 4-folding based on linear OA(2116, 8388600, F2, 11) (dual of [8388600, 8388484, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2116, large, F2, 11) (dual of [large, large−116, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [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(2116, 2097150, F2, 4, 10) (dual of [(2097150, 4), 8388484, 11]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2117, 2097150, F2, 4, 11) (dual of [(2097150, 4), 8388483, 12]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2121, 2097153, F2, 4, 11) (dual of [(2097153, 4), 8388491, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(2122, 2097155, F2, 4, 11) (dual of [(2097155, 4), 8388498, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(2123, 2097157, F2, 4, 11) (dual of [(2097157, 4), 8388505, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(2124, 2097160, F2, 4, 11) (dual of [(2097160, 4), 8388516, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(2125, 2097164, F2, 4, 11) (dual of [(2097164, 4), 8388531, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(2126, 2097170, F2, 4, 11) (dual of [(2097170, 4), 8388554, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(2127, 2097176, F2, 4, 11) (dual of [(2097176, 4), 8388577, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(2128, 2097186, F2, 4, 11) (dual of [(2097186, 4), 8388616, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(2129, 2097195, F2, 4, 11) (dual of [(2097195, 4), 8388651, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(2130, 2097219, F2, 4, 11) (dual of [(2097219, 4), 8388746, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(2131, 2097227, F2, 4, 11) (dual of [(2097227, 4), 8388777, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(2132, 2097279, F2, 4, 11) (dual of [(2097279, 4), 8388984, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(2133, 2097292, F2, 4, 11) (dual of [(2097292, 4), 8389035, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(2134, 2097407, F2, 4, 11) (dual of [(2097407, 4), 8389494, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(2135, 2097428, F2, 4, 11) (dual of [(2097428, 4), 8389577, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(2136, 2097663, F2, 4, 11) (dual of [(2097663, 4), 8390516, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(2137, 2097692, F2, 4, 11) (dual of [(2097692, 4), 8390631, 12]-NRT-code) | [i] | ||
| 20 | Linear OOA(2138, 2098175, F2, 4, 11) (dual of [(2098175, 4), 8392562, 12]-NRT-code) | [i] | ||