Information on Result #915425
Linear OOA(3108, 75, F3, 2, 53) (dual of [(75, 2), 42, 54]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(929, 25, F9, 2, 26) (dual of [(25, 2), 21, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(929, 28, F9, 2, 26) (dual of [(28, 2), 27, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,29P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(2;F,29P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(929, 28, F9, 2, 26) (dual of [(28, 2), 27, 27]-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(3108, 75, F3, 2, 52) (dual of [(75, 2), 42, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3109, 75, F3, 2, 53) (dual of [(75, 2), 41, 54]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3107, 74, F3, 2, 52) (dual of [(74, 2), 41, 53]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3108, 37, F3, 4, 53) (dual of [(37, 4), 40, 54]-NRT-code) | [i] | OOA Folding | |