Information on Result #1029208
Linear OOA(255, 27, F2, 3, 27) (dual of [(27, 3), 26, 28]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(414, 9, F4, 3, 13) (dual of [(9, 3), 13, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,13P) [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,13P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, 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(255, 27, F2, 3, 26) (dual of [(27, 3), 26, 27]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(255, 27, F2, 3, 25) (dual of [(27, 3), 26, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(258, 28, F2, 3, 27) (dual of [(28, 3), 26, 28]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(256, 27, F2, 3, 27) (dual of [(27, 3), 25, 28]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(254, 26, F2, 3, 26) (dual of [(26, 3), 24, 27]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(255, 13, F2, 6, 27) (dual of [(13, 6), 23, 28]-NRT-code) | [i] | OOA Folding | |