Information on Result #1088096
Linear OOA(2200, 72, F2, 4, 77) (dual of [(72, 4), 88, 78]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1626, 24, F16, 2, 25) (dual of [(24, 2), 22, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,22P) [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(2200, 72, F2, 4, 76) (dual of [(72, 4), 88, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2200, 72, F2, 4, 75) (dual of [(72, 4), 88, 76]-NRT-code) | [i] | ||
| 3 | Linear OOA(2204, 73, F2, 4, 77) (dual of [(73, 4), 88, 78]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2201, 72, F2, 4, 77) (dual of [(72, 4), 87, 78]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2202, 72, F2, 4, 77) (dual of [(72, 4), 86, 78]-NRT-code) | [i] | ||
| 6 | Linear OOA(2203, 72, F2, 4, 77) (dual of [(72, 4), 85, 78]-NRT-code) | [i] | ||
| 7 | Linear OOA(2199, 71, F2, 4, 76) (dual of [(71, 4), 85, 77]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2198, 71, F2, 4, 75) (dual of [(71, 4), 86, 76]-NRT-code) | [i] | ||
| 9 | Linear OOA(2200, 36, F2, 7, 77) (dual of [(36, 7), 52, 78]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(2200, 36, F2, 8, 77) (dual of [(36, 8), 88, 78]-NRT-code) | [i] | ||