Information on Result #805685
Linear OOA(2116, 4194301, F2, 2, 11) (dual of [(4194301, 2), 8388486, 12]-NRT-code), using OOA 2-folding based on linear OA(2116, 8388602, F2, 11) (dual of [8388602, 8388486, 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, 4194301, F2, 2, 10) (dual of [(4194301, 2), 8388486, 11]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2118, 4194302, F2, 2, 11) (dual of [(4194302, 2), 8388486, 12]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2120, 4194303, F2, 2, 11) (dual of [(4194303, 2), 8388486, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(2117, 4194301, F2, 2, 11) (dual of [(4194301, 2), 8388485, 12]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2121, 4194304, F2, 2, 11) (dual of [(4194304, 2), 8388487, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2122, 4194306, F2, 2, 11) (dual of [(4194306, 2), 8388490, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(2123, 4194308, F2, 2, 11) (dual of [(4194308, 2), 8388493, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(2124, 4194311, F2, 2, 11) (dual of [(4194311, 2), 8388498, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(2125, 4194315, F2, 2, 11) (dual of [(4194315, 2), 8388505, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(2126, 4194321, F2, 2, 11) (dual of [(4194321, 2), 8388516, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(2127, 4194327, F2, 2, 11) (dual of [(4194327, 2), 8388527, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(2128, 4194337, F2, 2, 11) (dual of [(4194337, 2), 8388546, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(2129, 4194346, F2, 2, 11) (dual of [(4194346, 2), 8388563, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(2130, 4194370, F2, 2, 11) (dual of [(4194370, 2), 8388610, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(2131, 4194378, F2, 2, 11) (dual of [(4194378, 2), 8388625, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(2132, 4194430, F2, 2, 11) (dual of [(4194430, 2), 8388728, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(2133, 4194443, F2, 2, 11) (dual of [(4194443, 2), 8388753, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(2134, 4194558, F2, 2, 11) (dual of [(4194558, 2), 8388982, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(2135, 4194579, F2, 2, 11) (dual of [(4194579, 2), 8389023, 12]-NRT-code) | [i] | ||
| 20 | Linear OOA(2136, 4194814, F2, 2, 11) (dual of [(4194814, 2), 8389492, 12]-NRT-code) | [i] | ||
| 21 | Linear OOA(2137, 4194843, F2, 2, 11) (dual of [(4194843, 2), 8389549, 12]-NRT-code) | [i] | ||
| 22 | Linear OOA(2138, 4195326, F2, 2, 11) (dual of [(4195326, 2), 8390514, 12]-NRT-code) | [i] | ||