Information on Result #908988
Linear OOA(279, 41, F2, 2, 56) (dual of [(41, 2), 3, 57]-NRT-code), using juxtaposition based on
- linear OOA(23, 3, F2, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,2) [i]
- linear OOA(273, 38, F2, 2, 52) (dual of [(38, 2), 3, 53]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(23, 3, F2, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code) (see above)
- linear OOA(267, 35, F2, 2, 48) (dual of [(35, 2), 3, 49]-NRT-code), using
- repeating each code word 7 times [i] based on linear OOA(27, 5, F2, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- repeating each code word 7 times [i] based on linear OOA(27, 5, F2, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
- juxtaposition [i] based on
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(279, 41, F2, 2, 55) (dual of [(41, 2), 3, 56]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(279, 41, F2, 2, 54) (dual of [(41, 2), 3, 55]-NRT-code) | [i] | ||
| 3 | Linear OOA(279, 41, F2, 2, 53) (dual of [(41, 2), 3, 54]-NRT-code) | [i] | ||
| 4 | Linear OOA(279, 41, F2, 2, 52) (dual of [(41, 2), 3, 53]-NRT-code) | [i] | ||
| 5 | Linear OOA(279, 41, F2, 2, 51) (dual of [(41, 2), 3, 52]-NRT-code) | [i] | ||
| 6 | Linear OOA(275, 39, F2, 2, 52) (dual of [(39, 2), 3, 53]-NRT-code) | [i] | Truncation for OOAs | |