Information on Result #909952
Linear OOA(4251, 127, F4, 2, 210) (dual of [(127, 2), 3, 211]-NRT-code), using juxtaposition based on
- linear OOA(47, 5, F4, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,4) [i]
- linear OOA(4241, 122, F4, 2, 202) (dual of [(122, 2), 3, 203]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(47, 5, F4, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code) (see above)
- linear OOA(4231, 117, F4, 2, 194) (dual of [(117, 2), 3, 195]-NRT-code), using
- repeating each code word 13 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 13 times [i] based on linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-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(4251, 127, F4, 2, 209) (dual of [(127, 2), 3, 210]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4251, 127, F4, 2, 208) (dual of [(127, 2), 3, 209]-NRT-code) | [i] | ||
| 3 | Linear OOA(4251, 127, F4, 2, 207) (dual of [(127, 2), 3, 208]-NRT-code) | [i] | ||
| 4 | Linear OOA(4251, 127, F4, 2, 206) (dual of [(127, 2), 3, 207]-NRT-code) | [i] | ||
| 5 | Linear OOA(4251, 127, F4, 2, 205) (dual of [(127, 2), 3, 206]-NRT-code) | [i] | ||
| 6 | Linear OOA(4251, 127, F4, 2, 204) (dual of [(127, 2), 3, 205]-NRT-code) | [i] | ||
| 7 | Linear OOA(4251, 127, F4, 2, 203) (dual of [(127, 2), 3, 204]-NRT-code) | [i] | ||
| 8 | Linear OOA(4251, 127, F4, 2, 202) (dual of [(127, 2), 3, 203]-NRT-code) | [i] | ||
| 9 | Linear OOA(4251, 127, F4, 2, 201) (dual of [(127, 2), 3, 202]-NRT-code) | [i] | ||