Information on Result #915148
Linear OOA(2187, 216, F2, 2, 45) (dual of [(216, 2), 245, 46]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(3223, 36, F32, 2, 22) (dual of [(36, 2), 49, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3223, 44, F32, 2, 22) (dual of [(44, 2), 65, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,65P) [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(3223, 44, F32, 2, 22) (dual of [(44, 2), 65, 23]-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(2187, 216, F2, 2, 44) (dual of [(216, 2), 245, 45]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2188, 216, F2, 2, 45) (dual of [(216, 2), 244, 46]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2186, 215, F2, 2, 44) (dual of [(215, 2), 244, 45]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2187, 108, F2, 4, 45) (dual of [(108, 4), 245, 46]-NRT-code) | [i] | OOA Folding | |