Information on Result #1029318
Linear OOA(2129, 63, F2, 3, 53) (dual of [(63, 3), 60, 54]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(433, 21, F4, 3, 26) (dual of [(21, 3), 30, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,36P) [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 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(2129, 63, F2, 3, 52) (dual of [(63, 3), 60, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2132, 64, F2, 3, 53) (dual of [(64, 3), 60, 54]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2130, 63, F2, 3, 53) (dual of [(63, 3), 59, 54]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2128, 62, F2, 3, 52) (dual of [(62, 3), 58, 53]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2129, 31, F2, 5, 53) (dual of [(31, 5), 26, 54]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2129, 31, F2, 6, 53) (dual of [(31, 6), 57, 54]-NRT-code) | [i] | ||