Information on Result #1011300
Linear OOA(3138, 56, F3, 3, 81) (dual of [(56, 3), 30, 82]-NRT-code), using (u, u+v)-construction based on
- linear OOA(355, 28, F3, 3, 40) (dual of [(28, 3), 29, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,43P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(383, 28, F3, 3, 81) (dual of [(28, 3), 1, 82]-NRT-code), using
- strength reduction [i] based on linear OOA(383, 28, F3, 3, 83) (dual of [(28, 3), 1, 84]-NRT-code), using
- dual of repetition NRT-code with length 28 [i]
- strength reduction [i] based on linear OOA(383, 28, F3, 3, 83) (dual of [(28, 3), 1, 84]-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(3141, 57, F3, 3, 81) (dual of [(57, 3), 30, 82]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3137, 55, F3, 3, 80) (dual of [(55, 3), 28, 81]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3136, 55, F3, 3, 79) (dual of [(55, 3), 29, 80]-NRT-code) | [i] | ||
| 4 | Linear OOA(3135, 55, F3, 3, 78) (dual of [(55, 3), 30, 79]-NRT-code) | [i] | ||