Information on Result #1120921
Linear OOA(2256, 52, F2, 5, 215) (dual of [(52, 5), 4, 216]-NRT-code), using juxtaposition based on
- linear OOA(216, 4, F2, 5, 15) (dual of [(4, 5), 4, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(216, 5, F2, 5, 15) (dual of [(5, 5), 9, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,9P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- discarding factors / shortening the dual code based on linear OOA(216, 5, F2, 5, 15) (dual of [(5, 5), 9, 16]-NRT-code), using
- linear OOA(2236, 48, F2, 5, 199) (dual of [(48, 5), 4, 200]-NRT-code), using
- strength reduction [i] based on linear OOA(2236, 48, F2, 5, 200) (dual of [(48, 5), 4, 201]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(221, 5, F2, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5 (see above)
- linear OOA(2211, 43, F2, 5, 179) (dual of [(43, 5), 4, 180]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(221, 5, F2, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code) (see above)
- linear OOA(2186, 38, F2, 5, 158) (dual of [(38, 5), 4, 159]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(221, 5, F2, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code) (see above)
- linear OOA(2161, 33, F2, 5, 137) (dual of [(33, 5), 4, 138]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(221, 5, F2, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code) (see above)
- linear OOA(2136, 28, F2, 5, 116) (dual of [(28, 5), 4, 117]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(221, 5, F2, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code) (see above)
- linear OOA(2111, 23, F2, 5, 95) (dual of [(23, 5), 4, 96]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(221, 5, F2, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code) (see above)
- linear OOA(286, 18, F2, 5, 74) (dual of [(18, 5), 4, 75]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(226, 6, F2, 5, 24) (dual of [(6, 5), 4, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,5P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, using
- repeating each code word 3 times [i] based on linear OOA(226, 6, F2, 5, 24) (dual of [(6, 5), 4, 25]-NRT-code), using
- juxtaposition [i] based on
- juxtaposition [i] based on
- juxtaposition [i] based on
- juxtaposition [i] based on
- juxtaposition [i] based on
- linear OOA(221, 5, F2, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code), using
- juxtaposition [i] based on
- strength reduction [i] based on linear OOA(2236, 48, F2, 5, 200) (dual of [(48, 5), 4, 201]-NRT-code), using
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(2256, 52, F2, 5, 214) (dual of [(52, 5), 4, 215]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2256, 52, F2, 5, 213) (dual of [(52, 5), 4, 214]-NRT-code) | [i] | ||
| 3 | Linear OOA(2256, 52, F2, 5, 212) (dual of [(52, 5), 4, 213]-NRT-code) | [i] | ||
| 4 | Linear OOA(2243, 49, F2, 5, 202) (dual of [(49, 5), 2, 203]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2242, 49, F2, 5, 201) (dual of [(49, 5), 3, 202]-NRT-code) | [i] | ||
| 6 | Linear OOA(2241, 49, F2, 5, 200) (dual of [(49, 5), 4, 201]-NRT-code) | [i] | ||
| 7 | Linear OOA(2233, 47, F2, 5, 192) (dual of [(47, 5), 2, 193]-NRT-code) | [i] | ||