Information on Result #941491
Linear OOA(4103, 56, F4, 2, 74) (dual of [(56, 2), 9, 75]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(421, 14, F4, 2, 18) (dual of [(14, 2), 7, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,9P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- linear OOA(426, 14, F4, 2, 24) (dual of [(14, 2), 2, 25]-NRT-code), using
- 2 step truncation [i] based on linear OOA(428, 15, F4, 2, 26) (dual of [(15, 2), 2, 27]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(48, 5, F4, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,4) [i]
- repeating each code word 3 times [i] based on linear OOA(48, 5, F4, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- 2 step truncation [i] based on linear OOA(428, 15, F4, 2, 26) (dual of [(15, 2), 2, 27]-NRT-code), using
- linear OOA(428, 14, F4, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code), using
- linear OOA(428, 14, F4, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code) (see above)
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(4103, 56, F4, 2, 73) (dual of [(56, 2), 9, 74]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4101, 55, F4, 2, 72) (dual of [(55, 2), 9, 73]-NRT-code) | [i] | Truncation for OOAs | |