Information on Result #914956
Linear OOA(2232, 220, F2, 2, 65) (dual of [(220, 2), 208, 66]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1636, 44, F16, 2, 32) (dual of [(44, 2), 52, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1636, 45, F16, 2, 32) (dual of [(45, 2), 54, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,57P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OOA(1636, 45, F16, 2, 32) (dual of [(45, 2), 54, 33]-NRT-code), using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 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(2232, 220, F2, 2, 64) (dual of [(220, 2), 208, 65]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2233, 220, F2, 2, 65) (dual of [(220, 2), 207, 66]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2231, 219, F2, 2, 64) (dual of [(219, 2), 207, 65]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2232, 110, F2, 4, 65) (dual of [(110, 4), 208, 66]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2232, 73, F2, 5, 65) (dual of [(73, 5), 133, 66]-NRT-code) | [i] | ||
| 6 | Linear OOA(2232, 73, F2, 6, 65) (dual of [(73, 6), 206, 66]-NRT-code) | [i] | ||