Information on Result #909925
Linear OOA(4203, 103, F4, 2, 170) (dual of [(103, 2), 3, 171]-NRT-code), using juxtaposition based on
- linear OOA(45, 4, F4, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;3,4) [i]
- linear OOA(4195, 99, F4, 2, 164) (dual of [(99, 2), 3, 165]-NRT-code), using
- repeating each code word 11 times [i] based on linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- repeating each code word 11 times [i] based on linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-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(4203, 103, F4, 2, 169) (dual of [(103, 2), 3, 170]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4203, 103, F4, 2, 168) (dual of [(103, 2), 3, 169]-NRT-code) | [i] | ||
| 3 | Linear OOA(4203, 103, F4, 2, 167) (dual of [(103, 2), 3, 168]-NRT-code) | [i] | ||
| 4 | Linear OOA(4203, 103, F4, 2, 166) (dual of [(103, 2), 3, 167]-NRT-code) | [i] | ||
| 5 | Linear OOA(4203, 103, F4, 2, 165) (dual of [(103, 2), 3, 166]-NRT-code) | [i] | ||