Information on Result #1027333
Linear OOA(4215, 74, F4, 3, 176) (dual of [(74, 3), 7, 177]-NRT-code), using juxtaposition based on
- linear OOA(453, 20, F4, 3, 46) (dual of [(20, 3), 7, 47]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(453, 21, F4, 3, 46) (dual of [(21, 3), 10, 47]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,16P) [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- discarding factors / shortening the dual code based on linear OOA(453, 21, F4, 3, 46) (dual of [(21, 3), 10, 47]-NRT-code), using
- linear OOA(4155, 54, F4, 3, 129) (dual of [(54, 3), 7, 130]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(474, 27, F4, 3, 64) (dual of [(27, 3), 7, 65]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,16P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- repeating each code word 2 times [i] based on linear OOA(474, 27, F4, 3, 64) (dual of [(27, 3), 7, 65]-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(4215, 74, F4, 3, 175) (dual of [(74, 3), 7, 176]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4215, 74, F4, 3, 174) (dual of [(74, 3), 7, 175]-NRT-code) | [i] | ||
| 3 | Linear OOA(4215, 74, F4, 3, 173) (dual of [(74, 3), 7, 174]-NRT-code) | [i] | ||
| 4 | Linear OOA(4215, 74, F4, 3, 172) (dual of [(74, 3), 7, 173]-NRT-code) | [i] | ||
| 5 | Linear OOA(4215, 74, F4, 3, 171) (dual of [(74, 3), 7, 172]-NRT-code) | [i] | ||