Information on Result #2765158
Linear OOA(2212, 72, F2, 4, 85) (dual of [(72, 4), 76, 86]-NRT-code), using strength reduction based on linear OOA(2212, 72, F2, 4, 86) (dual of [(72, 4), 76, 87]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(1629, 24, F16, 2, 28) (dual of [(24, 2), 19, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,19P) [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]
- linear OOA(1629, 24, F16, 2, 28) (dual of [(24, 2), 19, 29]-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(2216, 73, F2, 4, 85) (dual of [(73, 4), 76, 86]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2213, 72, F2, 4, 85) (dual of [(72, 4), 75, 86]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2214, 72, F2, 4, 85) (dual of [(72, 4), 74, 86]-NRT-code) | [i] | ||
| 4 | Linear OOA(2215, 72, F2, 4, 85) (dual of [(72, 4), 73, 86]-NRT-code) | [i] | ||
| 5 | Linear OOA(2211, 71, F2, 4, 84) (dual of [(71, 4), 73, 85]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2212, 36, F2, 8, 85) (dual of [(36, 8), 76, 86]-NRT-code) | [i] | OOA Folding | |