Information on Result #1146246
Linear OOA(275, 13, F2, 6, 69) (dual of [(13, 6), 3, 70]-NRT-code), using juxtaposition based on
- linear OOA(215, 3, F2, 6, 15) (dual of [(3, 6), 3, 16]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(6;3,2) [i]
- linear OOA(257, 10, F2, 6, 53) (dual of [(10, 6), 3, 54]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(227, 5, F2, 6, 26) (dual of [(5, 6), 3, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;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(227, 5, F2, 6, 26) (dual of [(5, 6), 3, 27]-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(275, 13, F2, 6, 68) (dual of [(13, 6), 3, 69]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(275, 13, F2, 6, 67) (dual of [(13, 6), 3, 68]-NRT-code) | [i] | ||
| 3 | Linear OOA(275, 13, F2, 6, 66) (dual of [(13, 6), 3, 67]-NRT-code) | [i] | ||
| 4 | Linear OOA(275, 13, F2, 6, 65) (dual of [(13, 6), 3, 66]-NRT-code) | [i] | ||
| 5 | Linear OOA(274, 12, F2, 6, 68) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(273, 12, F2, 6, 67) | [i] | ||
| 7 | Linear OOA(268, 11, F2, 6, 62) | [i] | ||
| 8 | Linear OOA(267, 11, F2, 6, 61) | [i] | ||
| 9 | Linear OOA(264, 11, F2, 6, 58) (dual of [(11, 6), 2, 59]-NRT-code) | [i] | ||
| 10 | Linear OOA(293, 16, F2, 6, 85) (dual of [(16, 6), 3, 86]-NRT-code) | [i] | Juxtaposition for OOAs | |