Information on Result #1087069
Linear OOA(249, 13, F2, 4, 43) (dual of [(13, 4), 3, 44]-NRT-code), using juxtaposition based on
- linear OOA(29, 3, F2, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;3,2) [i]
- linear OOA(237, 10, F2, 4, 33) (dual of [(10, 4), 3, 34]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(217, 5, F2, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;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(217, 5, F2, 4, 16) (dual of [(5, 4), 3, 17]-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(249, 13, F2, 4, 42) (dual of [(13, 4), 3, 43]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(249, 13, F2, 4, 41) (dual of [(13, 4), 3, 42]-NRT-code) | [i] | ||
| 3 | Linear OOA(249, 13, F2, 4, 40) (dual of [(13, 4), 3, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(249, 13, F2, 4, 39) (dual of [(13, 4), 3, 40]-NRT-code) | [i] | ||
| 5 | Linear OOA(242, 11, F2, 4, 36) (dual of [(11, 4), 2, 37]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(261, 16, F2, 4, 53) (dual of [(16, 4), 3, 54]-NRT-code) | [i] | Juxtaposition for OOAs | |