Information on Result #913790
Linear OOA(272, 60, F2, 2, 25) (dual of [(60, 2), 48, 26]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(814, 15, F8, 2, 12) (dual of [(15, 2), 16, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(814, 17, F8, 2, 12) (dual of [(17, 2), 20, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,21P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(814, 17, F8, 2, 12) (dual of [(17, 2), 20, 13]-NRT-code), using
- linear OA(21, 4, F2, 1) (dual of [4, 3, 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(272, 60, F2, 2, 24) (dual of [(60, 2), 48, 25]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(273, 60, F2, 2, 25) (dual of [(60, 2), 47, 26]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(271, 59, F2, 2, 24) (dual of [(59, 2), 47, 25]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(272, 30, F2, 4, 25) (dual of [(30, 4), 48, 26]-NRT-code) | [i] | OOA Folding | |