Information on Result #1027745
Linear OOA(8167, 57, F8, 3, 155) (dual of [(57, 3), 4, 156]-NRT-code), using juxtaposition based on
- linear OOA(823, 9, F8, 3, 23) (dual of [(9, 3), 4, 24]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,8) [i]
- 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(8167, 57, F8, 3, 154) (dual of [(57, 3), 4, 155]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8162, 55, F8, 3, 150) (dual of [(55, 3), 3, 151]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(8157, 53, F8, 3, 145) (dual of [(53, 3), 2, 146]-NRT-code) | [i] | ||
| 4 | Linear OOA(8156, 53, F8, 3, 144) (dual of [(53, 3), 3, 145]-NRT-code) | [i] | ||