Information on Result #1029207
Linear OOA(250, 24, F2, 3, 25) (dual of [(24, 3), 22, 26]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(413, 8, F4, 3, 12) (dual of [(8, 3), 11, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(413, 9, F4, 3, 12) (dual of [(9, 3), 14, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,14P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,14P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(413, 9, F4, 3, 12) (dual of [(9, 3), 14, 13]-NRT-code), using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 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(250, 24, F2, 3, 24) (dual of [(24, 3), 22, 25]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(251, 24, F2, 3, 25) (dual of [(24, 3), 21, 26]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(249, 23, F2, 3, 24) (dual of [(23, 3), 20, 25]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(250, 12, F2, 5, 25) (dual of [(12, 5), 10, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(250, 12, F2, 6, 25) (dual of [(12, 6), 22, 26]-NRT-code) | [i] | ||