Information on Result #1161597
Linear OOA(2253, 37, F2, 7, 215) (dual of [(37, 7), 6, 216]-NRT-code), using juxtaposition based on
- linear OOA(236, 6, F2, 7, 34) (dual of [(6, 7), 6, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,7P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, using
- linear OOA(2211, 31, F2, 7, 180) (dual of [(31, 7), 6, 181]-NRT-code), using
- strength reduction [i] based on linear OOA(2211, 31, F2, 7, 181) (dual of [(31, 7), 6, 182]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(243, 7, F2, 7, 40) (dual of [(7, 7), 6, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,8P) [i] based on function field F/F2 with g(F) = 3 and N(F) ≥ 7, using
- linear OOA(2162, 24, F2, 7, 140) (dual of [(24, 7), 6, 141]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(250, 8, F2, 7, 46) (dual of [(8, 7), 6, 47]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,9P) [i] based on function field F/F2 with g(F) = 4 and N(F) ≥ 8, using
- repeating each code word 3 times [i] based on linear OOA(250, 8, F2, 7, 46) (dual of [(8, 7), 6, 47]-NRT-code), using
- linear OOA(243, 7, F2, 7, 40) (dual of [(7, 7), 6, 41]-NRT-code), using
- juxtaposition [i] based on
- strength reduction [i] based on linear OOA(2211, 31, F2, 7, 181) (dual of [(31, 7), 6, 182]-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(2253, 37, F2, 7, 214) (dual of [(37, 7), 6, 215]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2253, 37, F2, 7, 213) (dual of [(37, 7), 6, 214]-NRT-code) | [i] | ||
3 | Linear OOA(2253, 37, F2, 7, 212) (dual of [(37, 7), 6, 213]-NRT-code) | [i] | ||
4 | Linear OOA(2253, 37, F2, 7, 211) (dual of [(37, 7), 6, 212]-NRT-code) | [i] | ||
5 | Linear OOA(2253, 37, F2, 7, 210) (dual of [(37, 7), 6, 211]-NRT-code) | [i] | ||
6 | Linear OOA(2253, 37, F2, 7, 209) (dual of [(37, 7), 6, 210]-NRT-code) | [i] | ||
7 | Linear OOA(2253, 37, F2, 7, 208) (dual of [(37, 7), 6, 209]-NRT-code) | [i] | ||
8 | Linear OOA(2253, 37, F2, 7, 207) (dual of [(37, 7), 6, 208]-NRT-code) | [i] | ||
9 | Linear OOA(2253, 37, F2, 7, 206) (dual of [(37, 7), 6, 207]-NRT-code) | [i] |