Information on Result #911389
Linear OOA(2118, 65, F2, 2, 62) (dual of [(65, 2), 12, 63]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(89, 13, F8, 8) (dual of [13, 4, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(89, 14, F8, 8) (dual of [14, 5, 9]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OA(89, 14, F8, 8) (dual of [14, 5, 9]-code), using
- linear OOA(27, 5, F2, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(2118, 65, F2, 2, 61) (dual of [(65, 2), 12, 62]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2118, 65, F2, 2, 60) (dual of [(65, 2), 12, 61]-NRT-code) | [i] | ||
| 3 | Linear OOA(2117, 64, F2, 2, 61) (dual of [(64, 2), 11, 62]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2116, 64, F2, 2, 60) (dual of [(64, 2), 12, 61]-NRT-code) | [i] | ||