Information on Result #908982
Linear OOA(253, 28, F2, 2, 38) (dual of [(28, 2), 3, 39]-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(247, 25, F2, 2, 34) (dual of [(25, 2), 3, 35]-NRT-code), using
- repeating each code word 5 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 5 times [i] based on linear OOA(27, 5, F2, 2, 6) (dual of [(5, 2), 3, 7]-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(253, 28, F2, 2, 37) (dual of [(28, 2), 3, 38]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(253, 28, F2, 2, 36) (dual of [(28, 2), 3, 37]-NRT-code) | [i] | ||
| 3 | Linear OOA(253, 28, F2, 2, 35) (dual of [(28, 2), 3, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(253, 28, F2, 2, 34) (dual of [(28, 2), 3, 35]-NRT-code) | [i] | ||
| 5 | Linear OOA(248, 25, F2, 2, 33) (dual of [(25, 2), 2, 34]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(259, 31, F2, 2, 42) (dual of [(31, 2), 3, 43]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 7 | Linear OOA(253, 14, F2, 4, 38) (dual of [(14, 4), 3, 39]-NRT-code) | [i] | OOA Folding | |