Information on Result #1027741
Linear OOA(8161, 55, F8, 3, 149) (dual of [(55, 3), 4, 150]-NRT-code), using juxtaposition based on
- linear OOA(817, 7, F8, 3, 17) (dual of [(7, 3), 4, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(817, 8, F8, 3, 17) (dual of [(8, 3), 7, 18]-NRT-code), using
- Reed–Solomon NRT-code RS(3;7,8) [i]
- discarding factors / shortening the dual code based on linear OOA(817, 8, F8, 3, 17) (dual of [(8, 3), 7, 18]-NRT-code), using
- linear OOA(8140, 48, F8, 3, 131) (dual of [(48, 3), 4, 132]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(868, 24, F8, 3, 65) (dual of [(24, 3), 4, 66]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,6P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(3;F,6P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- repeating each code word 2 times [i] based on linear OOA(868, 24, F8, 3, 65) (dual of [(24, 3), 4, 66]-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(8161, 55, F8, 3, 148) (dual of [(55, 3), 4, 149]-NRT-code) | [i] | Strength Reduction for OOAs | |