Information on Result #915245
Linear OOA(2251, 258, F2, 2, 65) (dual of [(258, 2), 265, 66]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(3233, 43, F32, 2, 32) (dual of [(43, 2), 53, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3233, 44, F32, 2, 32) (dual of [(44, 2), 55, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,55P) [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(3233, 44, F32, 2, 32) (dual of [(44, 2), 55, 33]-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(2251, 258, F2, 2, 64) (dual of [(258, 2), 265, 65]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2252, 258, F2, 2, 65) (dual of [(258, 2), 264, 66]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2250, 257, F2, 2, 64) (dual of [(257, 2), 264, 65]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2251, 129, F2, 4, 65) (dual of [(129, 4), 265, 66]-NRT-code) | [i] | OOA Folding | |