Information on Result #1028513
Linear OOA(2166, 66, F2, 3, 83) (dual of [(66, 3), 32, 84]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1614, 22, F16, 13) (dual of [22, 8, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(1614, 24, F16, 13) (dual of [24, 10, 14]-code), using
- extended algebraic-geometric code AGe(F,10P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1614, 24, F16, 13) (dual of [24, 10, 14]-code), using
- linear OOA(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [i]
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(2166, 66, F2, 3, 82) (dual of [(66, 3), 32, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2166, 66, F2, 3, 81) (dual of [(66, 3), 32, 82]-NRT-code) | [i] | ||
| 3 | Linear OOA(2166, 66, F2, 3, 80) (dual of [(66, 3), 32, 81]-NRT-code) | [i] | ||
| 4 | Linear OOA(2167, 66, F2, 3, 83) (dual of [(66, 3), 31, 84]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2165, 65, F2, 3, 82) (dual of [(65, 3), 30, 83]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2166, 33, F2, 6, 83) (dual of [(33, 6), 32, 84]-NRT-code) | [i] | OOA Folding | |