Information on Result #1120948
Linear OOA(262, 13, F2, 5, 56) (dual of [(13, 5), 3, 57]-NRT-code), using juxtaposition based on
- linear OOA(212, 3, F2, 5, 12) (dual of [(3, 5), 3, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;3,2) [i]
- linear OOA(247, 10, F2, 5, 43) (dual of [(10, 5), 3, 44]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(222, 5, F2, 5, 21) (dual of [(5, 5), 3, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,3P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- repeating each code word 2 times [i] based on linear OOA(222, 5, F2, 5, 21) (dual of [(5, 5), 3, 22]-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(262, 13, F2, 5, 55) (dual of [(13, 5), 3, 56]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(262, 13, F2, 5, 54) (dual of [(13, 5), 3, 55]-NRT-code) | [i] | ||
| 3 | Linear OOA(262, 13, F2, 5, 53) (dual of [(13, 5), 3, 54]-NRT-code) | [i] | ||
| 4 | Linear OOA(262, 13, F2, 5, 52) (dual of [(13, 5), 3, 53]-NRT-code) | [i] | ||
| 5 | Linear OOA(261, 12, F2, 5, 55) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(256, 11, F2, 5, 50) | [i] | ||
| 7 | Linear OOA(253, 11, F2, 5, 47) (dual of [(11, 5), 2, 48]-NRT-code) | [i] | ||
| 8 | Linear OOA(277, 16, F2, 5, 69) (dual of [(16, 5), 3, 70]-NRT-code) | [i] | Juxtaposition for OOAs | |