Information on Result #2611181
Linear OOA(299, 45, F2, 3, 46) (dual of [(45, 3), 36, 47]-NRT-code), using strength reduction based on linear OOA(299, 45, F2, 3, 47) (dual of [(45, 3), 36, 48]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(427, 15, F4, 3, 23) (dual of [(15, 3), 18, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,21P) [i] based on function field F/F4 with g(F) = 4 and N(F) ≥ 15, 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
- linear OOA(427, 15, F4, 3, 23) (dual of [(15, 3), 18, 24]-NRT-code), 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(2102, 46, F2, 3, 46) (dual of [(46, 3), 36, 47]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2100, 45, F2, 3, 46) (dual of [(45, 3), 35, 47]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2215, 78, F2, 3, 92) (dual of [(78, 3), 19, 93]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(2215, 78, F2, 3, 93) (dual of [(78, 3), 19, 94]-NRT-code) | [i] | ||