Information on Result #1161623
Linear OOA(2178, 26, F2, 7, 158) (dual of [(26, 7), 4, 159]-NRT-code), using juxtaposition based on
- linear OOA(224, 4, F2, 7, 23) (dual of [(4, 7), 4, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(224, 5, F2, 7, 23) (dual of [(5, 7), 11, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,11P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- discarding factors / shortening the dual code based on linear OOA(224, 5, F2, 7, 23) (dual of [(5, 7), 11, 24]-NRT-code), using
- linear OOA(2150, 22, F2, 7, 134) (dual of [(22, 7), 4, 135]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(224, 4, F2, 7, 23) (dual of [(4, 7), 4, 24]-NRT-code) (see above)
- linear OOA(2122, 18, F2, 7, 110) (dual of [(18, 7), 4, 111]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(238, 6, F2, 7, 36) (dual of [(6, 7), 4, 37]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,5P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, using
- repeating each code word 3 times [i] based on linear OOA(238, 6, F2, 7, 36) (dual of [(6, 7), 4, 37]-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(2178, 26, F2, 7, 157) (dual of [(26, 7), 4, 158]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2178, 26, F2, 7, 156) (dual of [(26, 7), 4, 157]-NRT-code) | [i] | ||
| 3 | Linear OOA(2178, 26, F2, 7, 155) (dual of [(26, 7), 4, 156]-NRT-code) | [i] | ||
| 4 | Linear OOA(2178, 26, F2, 7, 154) (dual of [(26, 7), 4, 155]-NRT-code) | [i] | ||
| 5 | Linear OOA(2178, 26, F2, 7, 153) (dual of [(26, 7), 4, 154]-NRT-code) | [i] | ||
| 6 | Linear OOA(2178, 26, F2, 7, 152) (dual of [(26, 7), 4, 153]-NRT-code) | [i] | ||
| 7 | Linear OOA(2178, 26, F2, 7, 151) (dual of [(26, 7), 4, 152]-NRT-code) | [i] | ||
| 8 | Linear OOA(2178, 26, F2, 7, 150) (dual of [(26, 7), 4, 151]-NRT-code) | [i] | ||
| 9 | Linear OOA(2178, 26, F2, 7, 149) (dual of [(26, 7), 4, 150]-NRT-code) | [i] | ||
| 10 | Linear OOA(2178, 26, F2, 7, 148) (dual of [(26, 7), 4, 149]-NRT-code) | [i] | ||
| 11 | Linear OOA(2178, 26, F2, 7, 147) (dual of [(26, 7), 4, 148]-NRT-code) | [i] | ||