Information on Result #1146250
Linear OOA(2123, 21, F2, 6, 112) (dual of [(21, 6), 3, 113]-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(2105, 18, F2, 6, 96) (dual of [(18, 6), 3, 97]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(215, 3, F2, 6, 15) (dual of [(3, 6), 3, 16]-NRT-code) (see above)
- linear OOA(287, 15, F2, 6, 80) (dual of [(15, 6), 3, 81]-NRT-code), using
- repeating each code word 3 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 3 times [i] based on linear OOA(227, 5, F2, 6, 26) (dual of [(5, 6), 3, 27]-NRT-code), using
- juxtaposition [i] based on
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(2122, 20, F2, 6, 111) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(2121, 20, F2, 6, 110) | [i] | ||
| 3 | Linear OOA(2116, 19, F2, 6, 105) | [i] | ||
| 4 | Linear OOA(2115, 19, F2, 6, 104) | [i] | ||
| 5 | Linear OOA(2112, 19, F2, 6, 101) (dual of [(19, 6), 2, 102]-NRT-code) | [i] | ||
| 6 | Linear OOA(2111, 19, F2, 6, 100) (dual of [(19, 6), 3, 101]-NRT-code) | [i] | ||
| 7 | Linear OOA(2110, 18, F2, 6, 99) | [i] | ||
| 8 | Linear OOA(2109, 18, F2, 6, 98) | [i] | ||
| 9 | Linear OOA(2104, 17, F2, 6, 93) | [i] | ||
| 10 | Linear OOA(2103, 17, F2, 6, 92) | [i] | ||