Information on Result #1029218
Linear OOA(264, 30, F2, 3, 31) (dual of [(30, 3), 26, 32]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(417, 10, F4, 3, 15) (dual of [(10, 3), 13, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,14P) [i] based on function field F/F4 with g(F) = 2 and N(F) ≥ 10, 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(264, 30, F2, 3, 30) (dual of [(30, 3), 26, 31]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(264, 30, F2, 3, 29) (dual of [(30, 3), 26, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(267, 31, F2, 3, 31) (dual of [(31, 3), 26, 32]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(265, 30, F2, 3, 31) (dual of [(30, 3), 25, 32]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(263, 29, F2, 3, 30) (dual of [(29, 3), 24, 31]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(264, 15, F2, 6, 31) (dual of [(15, 6), 26, 32]-NRT-code) | [i] | OOA Folding | |