Information on Result #1120686
Linear OOA(2224, 47, F2, 5, 163) (dual of [(47, 5), 11, 164]-NRT-code), using juxtaposition based on
- linear OOA(254, 13, F2, 5, 43) (dual of [(13, 5), 11, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(254, 14, F2, 5, 43) (dual of [(14, 5), 16, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,26P) [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(254, 14, F2, 5, 43) (dual of [(14, 5), 16, 44]-NRT-code), using
- linear OOA(2159, 34, F2, 5, 119) (dual of [(34, 5), 11, 120]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(274, 17, F2, 5, 59) (dual of [(17, 5), 11, 60]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,25P) [i] based on function field F/F2 with g(F) = 15 and N(F) ≥ 17, using
- repeating each code word 2 times [i] based on linear OOA(274, 17, F2, 5, 59) (dual of [(17, 5), 11, 60]-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(2224, 47, F2, 5, 162) (dual of [(47, 5), 11, 163]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2224, 47, F2, 5, 161) (dual of [(47, 5), 11, 162]-NRT-code) | [i] | ||
| 3 | Linear OOA(2224, 47, F2, 5, 160) (dual of [(47, 5), 11, 161]-NRT-code) | [i] | ||
| 4 | Linear OOA(2224, 47, F2, 5, 159) (dual of [(47, 5), 11, 160]-NRT-code) | [i] | ||
| 5 | Linear OOA(2224, 47, F2, 5, 158) (dual of [(47, 5), 11, 159]-NRT-code) | [i] | ||
| 6 | Linear OOA(2224, 47, F2, 5, 157) (dual of [(47, 5), 11, 158]-NRT-code) | [i] | ||