Information on Result #1029499
Linear OOA(2163, 63, F2, 3, 87) (dual of [(63, 3), 26, 88]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(450, 21, F4, 3, 43) (dual of [(21, 3), 13, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,19P) [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(2163, 63, F2, 3, 86) (dual of [(63, 3), 26, 87]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2163, 63, F2, 3, 85) (dual of [(63, 3), 26, 86]-NRT-code) | [i] | ||
| 3 | Linear OOA(2163, 63, F2, 3, 84) (dual of [(63, 3), 26, 85]-NRT-code) | [i] | ||
| 4 | Linear OOA(2166, 64, F2, 3, 87) (dual of [(64, 3), 26, 88]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2164, 63, F2, 3, 87) (dual of [(63, 3), 25, 88]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2162, 62, F2, 3, 86) (dual of [(62, 3), 24, 87]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2163, 31, F2, 6, 87) (dual of [(31, 6), 23, 88]-NRT-code) | [i] | OOA Folding | |