Information on Result #1088094
Linear OOA(2196, 72, F2, 4, 74) (dual of [(72, 4), 92, 75]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1625, 24, F16, 2, 24) (dual of [(24, 2), 23, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,23P) [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(2196, 72, F2, 4, 73) (dual of [(72, 4), 92, 74]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2196, 72, F2, 4, 72) (dual of [(72, 4), 92, 73]-NRT-code) | [i] | ||
| 3 | Linear OOA(2200, 73, F2, 4, 74) (dual of [(73, 4), 92, 75]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2197, 72, F2, 4, 74) (dual of [(72, 4), 91, 75]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2198, 72, F2, 4, 74) (dual of [(72, 4), 90, 75]-NRT-code) | [i] | ||
| 6 | Linear OOA(2199, 72, F2, 4, 74) (dual of [(72, 4), 89, 75]-NRT-code) | [i] | ||
| 7 | Linear OOA(2195, 71, F2, 4, 73) (dual of [(71, 4), 89, 74]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2194, 71, F2, 4, 72) (dual of [(71, 4), 90, 73]-NRT-code) | [i] | ||
| 9 | Linear OOA(2196, 36, F2, 7, 74) (dual of [(36, 7), 56, 75]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(2196, 36, F2, 8, 74) (dual of [(36, 8), 92, 75]-NRT-code) | [i] | ||