Information on Result #2765162
Linear OOA(2212, 78, F2, 4, 76) (dual of [(78, 4), 100, 77]-NRT-code), using strength reduction based on linear OOA(2212, 78, F2, 4, 77) (dual of [(78, 4), 100, 78]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(1627, 26, F16, 2, 25) (dual of [(26, 2), 25, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1627, 33, F16, 2, 25) (dual of [(33, 2), 39, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,40P) [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(1627, 33, F16, 2, 25) (dual of [(33, 2), 39, 26]-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]
- linear OOA(1627, 26, F16, 2, 25) (dual of [(26, 2), 25, 26]-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(2213, 78, F2, 4, 76) (dual of [(78, 4), 99, 77]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2211, 77, F2, 4, 75) (dual of [(77, 4), 97, 76]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2212, 39, F2, 7, 76) (dual of [(39, 7), 61, 77]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2212, 39, F2, 8, 76) (dual of [(39, 8), 100, 77]-NRT-code) | [i] | ||