Information on Result #911521
Linear OOA(2112, 72, F2, 2, 47) (dual of [(72, 2), 32, 48]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1616, 24, F16, 15) (dual of [24, 8, 16]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OOA(22, 3, F2, 2, 2) (dual of [(3, 2), 4, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;4,2) [i]
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(2112, 72, F2, 2, 46) (dual of [(72, 2), 32, 47]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2112, 72, F2, 2, 45) (dual of [(72, 2), 32, 46]-NRT-code) | [i] | ||
| 3 | Linear OOA(2114, 73, F2, 2, 47) (dual of [(73, 2), 32, 48]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2113, 72, F2, 2, 47) (dual of [(72, 2), 31, 48]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2111, 71, F2, 2, 46) (dual of [(71, 2), 31, 47]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2110, 71, F2, 2, 45) (dual of [(71, 2), 32, 46]-NRT-code) | [i] | ||
| 7 | Linear OOA(2112, 36, F2, 4, 47) (dual of [(36, 4), 32, 48]-NRT-code) | [i] | OOA Folding | |