Information on Result #1029481
Linear OOA(2177, 81, F2, 3, 77) (dual of [(81, 3), 66, 78]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(448, 27, F4, 3, 38) (dual of [(27, 3), 33, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,42P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, 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(2177, 81, F2, 3, 76) (dual of [(81, 3), 66, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2177, 81, F2, 3, 75) (dual of [(81, 3), 66, 76]-NRT-code) | [i] | ||
| 3 | Linear OOA(2177, 81, F2, 3, 74) (dual of [(81, 3), 66, 75]-NRT-code) | [i] | ||
| 4 | Linear OOA(2180, 82, F2, 3, 77) (dual of [(82, 3), 66, 78]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2183, 83, F2, 3, 77) (dual of [(83, 3), 66, 78]-NRT-code) | [i] | ||
| 6 | Linear OOA(2178, 81, F2, 3, 77) (dual of [(81, 3), 65, 78]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2176, 80, F2, 3, 76) (dual of [(80, 3), 64, 77]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2177, 40, F2, 5, 77) (dual of [(40, 5), 23, 78]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2177, 40, F2, 6, 77) (dual of [(40, 6), 63, 78]-NRT-code) | [i] | ||