Information on Result #1087798
Linear OOA(2184, 51, F2, 4, 116) (dual of [(51, 4), 20, 117]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1612, 17, F16, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,16)), using
- extended Reed–Solomon code RSe(5,16) [i]
- linear OOA(28, 3, F2, 4, 8) (dual of [(3, 4), 4, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;4,2) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(2184, 51, F2, 4, 115) (dual of [(51, 4), 20, 116]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2184, 51, F2, 4, 114) (dual of [(51, 4), 20, 115]-NRT-code) | [i] | ||
| 3 | Linear OOA(2184, 51, F2, 4, 113) (dual of [(51, 4), 20, 114]-NRT-code) | [i] | ||
| 4 | Linear OOA(2184, 51, F2, 4, 112) (dual of [(51, 4), 20, 113]-NRT-code) | [i] | ||
| 5 | Linear OOA(2184, 51, F2, 4, 111) (dual of [(51, 4), 20, 112]-NRT-code) | [i] | ||
| 6 | Linear OOA(2184, 51, F2, 4, 110) (dual of [(51, 4), 20, 111]-NRT-code) | [i] | ||
| 7 | Linear OOA(2184, 51, F2, 4, 109) (dual of [(51, 4), 20, 110]-NRT-code) | [i] | ||
| 8 | Linear OOA(2184, 51, F2, 4, 108) (dual of [(51, 4), 20, 109]-NRT-code) | [i] | ||
| 9 | Linear OOA(2188, 52, F2, 4, 116) (dual of [(52, 4), 20, 117]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 10 | Linear OOA(2192, 53, F2, 4, 116) (dual of [(53, 4), 20, 117]-NRT-code) | [i] | ||
| 11 | Linear OOA(2185, 51, F2, 4, 116) (dual of [(51, 4), 19, 117]-NRT-code) | [i] | OOA Duplication | |
| 12 | Linear OOA(2186, 51, F2, 4, 116) (dual of [(51, 4), 18, 117]-NRT-code) | [i] | ||
| 13 | Linear OOA(2187, 51, F2, 4, 116) (dual of [(51, 4), 17, 117]-NRT-code) | [i] | ||
| 14 | Linear OOA(2183, 50, F2, 4, 115) (dual of [(50, 4), 17, 116]-NRT-code) | [i] | Truncation for OOAs | |
| 15 | Linear OOA(2182, 50, F2, 4, 114) (dual of [(50, 4), 18, 115]-NRT-code) | [i] | ||
| 16 | Linear OOA(2181, 50, F2, 4, 113) (dual of [(50, 4), 19, 114]-NRT-code) | [i] | ||
| 17 | Linear OOA(2180, 50, F2, 4, 112) (dual of [(50, 4), 20, 113]-NRT-code) | [i] | ||
| 18 | Linear OOA(2179, 49, F2, 4, 111) (dual of [(49, 4), 17, 112]-NRT-code) | [i] | ||
| 19 | Linear OOA(2178, 49, F2, 4, 110) (dual of [(49, 4), 18, 111]-NRT-code) | [i] | ||
| 20 | Linear OOA(2177, 49, F2, 4, 109) (dual of [(49, 4), 19, 110]-NRT-code) | [i] | ||
| 21 | Linear OOA(2176, 49, F2, 4, 108) (dual of [(49, 4), 20, 109]-NRT-code) | [i] | ||
| 22 | Linear OOA(2175, 48, F2, 4, 107) (dual of [(48, 4), 17, 108]-NRT-code) | [i] | ||
| 23 | Linear OOA(2174, 48, F2, 4, 106) (dual of [(48, 4), 18, 107]-NRT-code) | [i] | ||
| 24 | Linear OOA(2173, 48, F2, 4, 105) (dual of [(48, 4), 19, 106]-NRT-code) | [i] | ||
| 25 | Linear OOA(2171, 47, F2, 4, 103) (dual of [(47, 4), 17, 104]-NRT-code) | [i] | ||
| 26 | Linear OOA(2170, 47, F2, 4, 102) (dual of [(47, 4), 18, 103]-NRT-code) | [i] | ||