Information on Result #913991
Linear OOA(2144, 96, F2, 2, 59) (dual of [(96, 2), 48, 60]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(832, 24, F8, 2, 29) (dual of [(24, 2), 16, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,18P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(2;F,18P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(21, 4, F2, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2144, 96, F2, 2, 58) (dual of [(96, 2), 48, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2146, 97, F2, 2, 59) (dual of [(97, 2), 48, 60]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2148, 98, F2, 2, 59) (dual of [(98, 2), 48, 60]-NRT-code) | [i] | ||
| 4 | Linear OOA(2145, 96, F2, 2, 59) (dual of [(96, 2), 47, 60]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2143, 95, F2, 2, 58) (dual of [(95, 2), 47, 59]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2144, 48, F2, 4, 59) (dual of [(48, 4), 48, 60]-NRT-code) | [i] | OOA Folding | |