Information on Result #1027764
Linear OOA(8144, 49, F8, 3, 135) (dual of [(49, 3), 3, 136]-NRT-code), using juxtaposition based on
- linear OOA(818, 7, F8, 3, 18) (dual of [(7, 3), 3, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(818, 8, F8, 3, 18) (dual of [(8, 3), 6, 19]-NRT-code), using
- Reed–Solomon NRT-code RS(3;6,8) [i]
- discarding factors / shortening the dual code based on linear OOA(818, 8, F8, 3, 18) (dual of [(8, 3), 6, 19]-NRT-code), using
- linear OOA(8123, 42, F8, 3, 116) (dual of [(42, 3), 3, 117]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(839, 14, F8, 3, 38) (dual of [(14, 3), 3, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,3P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- repeating each code word 3 times [i] based on linear OOA(839, 14, F8, 3, 38) (dual of [(14, 3), 3, 39]-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(8144, 49, F8, 3, 134) (dual of [(49, 3), 3, 135]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8144, 49, F8, 3, 133) (dual of [(49, 3), 3, 134]-NRT-code) | [i] | ||
| 3 | Linear OOA(8168, 57, F8, 3, 157) (dual of [(57, 3), 3, 158]-NRT-code) | [i] | Juxtaposition for OOAs | |