Information on Result #2766202
Linear OOA(2228, 84, F2, 4, 82) (dual of [(84, 4), 108, 83]-NRT-code), using strength reduction based on linear OOA(2228, 84, F2, 4, 83) (dual of [(84, 4), 108, 84]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(1629, 28, F16, 2, 27) (dual of [(28, 2), 27, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1629, 33, F16, 2, 27) (dual of [(33, 2), 37, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,38P) [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(1629, 33, F16, 2, 27) (dual of [(33, 2), 37, 28]-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(1629, 28, F16, 2, 27) (dual of [(28, 2), 27, 28]-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(2229, 84, F2, 4, 82) (dual of [(84, 4), 107, 83]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2227, 83, F2, 4, 81) (dual of [(83, 4), 105, 82]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2228, 42, F2, 7, 82) (dual of [(42, 7), 66, 83]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2228, 42, F2, 8, 82) (dual of [(42, 8), 108, 83]-NRT-code) | [i] | ||