Information on Result #1082424
Linear OOA(8153, 2110111, F81, 4, 11) (dual of [(2110111, 4), 8440391, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8112, 12961, F81, 4, 5) (dual of [(12961, 4), 51832, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(8112, 25923, F81, 5) (dual of [25923, 25911, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(8112, 25924, F81, 5) (dual of [25924, 25912, 6]-code), using
- generalized (u, u+v)-construction [i] based on
- linear OA(811, 6481, F81, 1) (dual of [6481, 6480, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(811, 6481, F81, 1) (dual of [6481, 6480, 2]-code) (see above)
- linear OA(813, 6481, F81, 2) (dual of [6481, 6478, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(813, 6643, F81, 2) (dual of [6643, 6640, 3]-code), using
- Hamming code H(3,81) [i]
- discarding factors / shortening the dual code based on linear OA(813, 6643, F81, 2) (dual of [6643, 6640, 3]-code), using
- linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- linear OA(811, 6481, F81, 1) (dual of [6481, 6480, 2]-code), using
- generalized (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(8112, 25924, F81, 5) (dual of [25924, 25912, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(8112, 25923, F81, 5) (dual of [25923, 25911, 6]-code), using
- linear OOA(8141, 2097150, F81, 4, 11) (dual of [(2097150, 4), 8388559, 12]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8141, 8388600, F81, 11) (dual of [8388600, 8388559, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- OOA 4-folding [i] based on linear OA(8141, 8388600, F81, 11) (dual of [8388600, 8388559, 12]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(8170, 4220222, F81, 4, 11) (dual of [(4220222, 4), 16880818, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |