Information on Result #1088095
Linear OOA(2204, 78, F2, 4, 71) (dual of [(78, 4), 108, 72]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1625, 26, F16, 2, 23) (dual of [(26, 2), 27, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1625, 33, F16, 2, 23) (dual of [(33, 2), 41, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,42P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OOA(1625, 33, F16, 2, 23) (dual of [(33, 2), 41, 24]-NRT-code), 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(2204, 78, F2, 4, 70) (dual of [(78, 4), 108, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2205, 78, F2, 4, 71) (dual of [(78, 4), 107, 72]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2206, 78, F2, 4, 71) (dual of [(78, 4), 106, 72]-NRT-code) | [i] | ||
| 4 | Linear OOA(2203, 77, F2, 4, 70) (dual of [(77, 4), 105, 71]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2202, 77, F2, 4, 69) (dual of [(77, 4), 106, 70]-NRT-code) | [i] | ||
| 6 | Linear OOA(2204, 39, F2, 7, 71) (dual of [(39, 7), 69, 72]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2204, 39, F2, 8, 71) (dual of [(39, 8), 108, 72]-NRT-code) | [i] | ||