Information on Result #1084474
Linear OOA(3227, 72, F3, 4, 127) (dual of [(72, 4), 61, 128]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(355, 24, F3, 4, 42) (dual of [(24, 4), 41, 43]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,53P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- linear OOA(376, 24, F3, 4, 63) (dual of [(24, 4), 20, 64]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,32P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24 (see above)
- linear OOA(396, 24, F3, 4, 96) (dual of [(24, 4), 0, 97]-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(3227, 72, F3, 4, 126) (dual of [(72, 4), 61, 127]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3227, 72, F3, 4, 125) (dual of [(72, 4), 61, 126]-NRT-code) | [i] | ||
| 3 | Linear OOA(3227, 72, F3, 4, 124) (dual of [(72, 4), 61, 125]-NRT-code) | [i] | ||
| 4 | Linear OOA(3231, 73, F3, 4, 127) (dual of [(73, 4), 61, 128]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(3226, 71, F3, 4, 126) (dual of [(71, 4), 58, 127]-NRT-code) | [i] | Truncation for OOAs | |