Information on Result #915178
Linear OOA(2213, 234, F2, 2, 53) (dual of [(234, 2), 255, 54]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(3227, 39, F32, 2, 26) (dual of [(39, 2), 51, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3227, 44, F32, 2, 26) (dual of [(44, 2), 61, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,61P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- discarding factors / shortening the dual code based on linear OOA(3227, 44, F32, 2, 26) (dual of [(44, 2), 61, 27]-NRT-code), using
- linear OA(21, 6, F2, 1) (dual of [6, 5, 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(2213, 234, F2, 2, 52) (dual of [(234, 2), 255, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2214, 234, F2, 2, 53) (dual of [(234, 2), 254, 54]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2212, 233, F2, 2, 52) (dual of [(233, 2), 254, 53]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2213, 117, F2, 4, 53) (dual of [(117, 4), 255, 54]-NRT-code) | [i] | OOA Folding | |