Information on Result #912288
Linear OOA(3108, 56, F3, 2, 83) (dual of [(56, 2), 4, 84]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(912, 14, F9, 11) (dual of [14, 2, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 16, F9, 11) (dual of [16, 4, 12]-code), using
- extended algebraic-geometric code AGe(F,4P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OA(912, 16, F9, 11) (dual of [16, 4, 12]-code), using
- linear OOA(36, 4, F3, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,3) [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(3108, 56, F3, 2, 82) (dual of [(56, 2), 4, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3108, 56, F3, 2, 81) (dual of [(56, 2), 4, 82]-NRT-code) | [i] | ||
| 3 | Linear OOA(3108, 56, F3, 2, 80) (dual of [(56, 2), 4, 81]-NRT-code) | [i] | ||
| 4 | Linear OOA(3108, 28, F3, 4, 83) (dual of [(28, 4), 4, 84]-NRT-code) | [i] | OOA Folding | |