Information on Result #1161642
Linear OOA(288, 13, F2, 7, 82) (dual of [(13, 7), 3, 83]-NRT-code), using juxtaposition based on
- linear OOA(218, 3, F2, 7, 18) (dual of [(3, 7), 3, 19]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(7;3,2) [i]
- linear OOA(267, 10, F2, 7, 63) (dual of [(10, 7), 3, 64]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(232, 5, F2, 7, 31) (dual of [(5, 7), 3, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;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(232, 5, F2, 7, 31) (dual of [(5, 7), 3, 32]-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(288, 13, F2, 7, 81) (dual of [(13, 7), 3, 82]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(288, 13, F2, 7, 80) (dual of [(13, 7), 3, 81]-NRT-code) | [i] | ||
| 3 | Linear OOA(288, 13, F2, 7, 79) (dual of [(13, 7), 3, 80]-NRT-code) | [i] | ||
| 4 | Linear OOA(288, 13, F2, 7, 78) (dual of [(13, 7), 3, 79]-NRT-code) | [i] | ||
| 5 | Linear OOA(287, 12, F2, 7, 81) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(286, 12, F2, 7, 80) | [i] | ||
| 7 | Linear OOA(285, 12, F2, 7, 79) | [i] | ||
| 8 | Linear OOA(280, 11, F2, 7, 74) | [i] | ||
| 9 | Linear OOA(279, 11, F2, 7, 73) | [i] | ||
| 10 | Linear OOA(278, 11, F2, 7, 72) | [i] | ||
| 11 | Linear OOA(275, 11, F2, 7, 69) (dual of [(11, 7), 2, 70]-NRT-code) | [i] | ||
| 12 | Linear OOA(2109, 16, F2, 7, 101) (dual of [(16, 7), 3, 102]-NRT-code) | [i] | Juxtaposition for OOAs | |