Information on Result #915332
Linear OOA(378, 54, F3, 2, 39) (dual of [(54, 2), 30, 40]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(921, 18, F9, 2, 19) (dual of [(18, 2), 15, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(921, 20, F9, 2, 19) (dual of [(20, 2), 19, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,20P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(921, 20, F9, 2, 19) (dual of [(20, 2), 19, 20]-NRT-code), using
- linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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(378, 54, F3, 2, 38) (dual of [(54, 2), 30, 39]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(379, 54, F3, 2, 39) (dual of [(54, 2), 29, 40]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(377, 53, F3, 2, 38) (dual of [(53, 2), 29, 39]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(378, 27, F3, 4, 39) (dual of [(27, 4), 30, 40]-NRT-code) | [i] | OOA Folding | |