Information on Result #1115436
Linear OOA(2164, large, F2, 5, 9), using (u, u+v)-construction based on
- linear OOA(244, 4194305, F2, 5, 4) (dual of [(4194305, 5), 20971481, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(244, 4194305, F2, 4, 4) (dual of [(4194305, 4), 16777176, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(244, 4194305, F2, 3, 4) (dual of [(4194305, 3), 12582871, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (40, 44, 4194305)-net over F2, using
- appending kth column [i] based on linear OOA(244, 4194305, F2, 3, 4) (dual of [(4194305, 3), 12582871, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(244, 4194305, F2, 4, 4) (dual of [(4194305, 4), 16777176, 5]-NRT-code), using
- linear OOA(2120, 4194304, F2, 5, 9) (dual of [(4194304, 5), 20971400, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(24, 3, F2, 5, 4) (dual of [(3, 5), 11, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;11,2) [i]
- linear OOA(2116, 4194301, F2, 5, 9) (dual of [(4194301, 5), 20971389, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2116, large, F2, 2, 9), using
- linear OOA(24, 3, F2, 5, 4) (dual of [(3, 5), 11, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(2164, large, F2, 5, 8) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2164, large, F2, 5, 7) | [i] | ||
3 | Linear OOA(2164, large, F2, 5, 6) | [i] | ||
4 | Linear OOA(2164, large, F2, 5, 5) | [i] | ||
5 | Linear OOA(2164, large, F2, 5, 4) | [i] | ||
6 | Linear OOA(2164, large, F2, 5, 3) | [i] | ||
7 | Linear OOA(2169, large, F2, 5, 9) | [i] | NRT-Code Embedding in Larger Space | |
8 | Linear OOA(2174, large, F2, 5, 9) | [i] | ||
9 | Linear OOA(2179, large, F2, 5, 9) | [i] | ||
10 | Linear OOA(2184, large, F2, 5, 9) | [i] | ||
11 | Linear OOA(2189, large, F2, 5, 9) | [i] | ||
12 | Linear OOA(2194, large, F2, 5, 9) | [i] | ||
13 | Linear OOA(2199, large, F2, 5, 9) | [i] | ||
14 | Linear OOA(2204, large, F2, 5, 9) | [i] | ||
15 | Linear OOA(2209, large, F2, 5, 9) | [i] | ||
16 | Linear OOA(2214, large, F2, 5, 9) | [i] | ||
17 | Linear OOA(2219, large, F2, 5, 9) | [i] | ||
18 | Linear OOA(2229, large, F2, 5, 9) | [i] | ||
19 | Linear OOA(2234, large, F2, 5, 9) | [i] | ||
20 | Linear OOA(2239, large, F2, 5, 9) | [i] | ||
21 | Linear OOA(2244, large, F2, 5, 9) | [i] | ||
22 | Linear OOA(2249, large, F2, 5, 9) | [i] | ||
23 | Linear OOA(2254, large, F2, 5, 9) | [i] | ||
24 | Linear OOA(2259, large, F2, 5, 9) | [i] | ||
25 | Linear OOA(2165, large, F2, 5, 9) | [i] | OOA Duplication | |
26 | Linear OOA(2166, large, F2, 5, 9) | [i] | ||
27 | Linear OOA(2167, large, F2, 5, 9) | [i] | ||
28 | Linear OOA(2168, large, F2, 5, 9) | [i] |