Information on Result #1021440
Linear OOA(519, 125, F5, 3, 7) (dual of [(125, 3), 356, 8]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(51, 25, F5, 3, 1) (dual of [(25, 3), 74, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(51, s, F5, 3, 1) for arbitrarily large s, using
- appending 2 arbitrary columns [i] based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(51, s, F5, 3, 1) for arbitrarily large s, using
- linear OOA(51, 25, F5, 3, 1) (dual of [(25, 3), 74, 2]-NRT-code) (see above)
- linear OOA(53, 25, F5, 3, 2) (dual of [(25, 3), 72, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(53, 31, F5, 3, 2) (dual of [(31, 3), 90, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(53, 31, F5, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
- appending kth column [i] based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- Hamming code H(3,5) [i]
- appending kth column [i] based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(53, 31, F5, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(53, 31, F5, 3, 2) (dual of [(31, 3), 90, 3]-NRT-code), using
- linear OOA(54, 25, F5, 3, 3) (dual of [(25, 3), 71, 4]-NRT-code), using
- linear OOA(510, 25, F5, 3, 7) (dual of [(25, 3), 65, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 10, 25)-net over F5, 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(520, 125, F5, 3, 7) (dual of [(125, 3), 355, 8]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(5139, 2796326, F5, 3, 15) (dual of [(2796326, 3), 8388839, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(5130, 2796326, F5, 3, 14) (dual of [(2796326, 3), 8388848, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(519, 124, F5, 9, 7) (dual of [(124, 9), 1097, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |