Information on Result #911197
Linear OOA(2102, 57, F2, 2, 55) (dual of [(57, 2), 12, 56]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(815, 19, F8, 13) (dual of [19, 4, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(815, 20, F8, 13) (dual of [20, 5, 14]-code), using
- linear OOA(23, 3, F2, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,2) [i]
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(2102, 57, F2, 2, 54) (dual of [(57, 2), 12, 55]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2102, 57, F2, 2, 53) (dual of [(57, 2), 12, 54]-NRT-code) | [i] | ||
| 3 | Linear OOA(2103, 57, F2, 2, 55) (dual of [(57, 2), 11, 56]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2101, 56, F2, 2, 54) (dual of [(56, 2), 11, 55]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2100, 56, F2, 2, 53) (dual of [(56, 2), 12, 54]-NRT-code) | [i] | ||
| 6 | Linear OOA(299, 55, F2, 2, 52) (dual of [(55, 2), 11, 53]-NRT-code) | [i] | ||
| 7 | Linear OOA(297, 54, F2, 2, 50) (dual of [(54, 2), 11, 51]-NRT-code) | [i] | ||
| 8 | Linear OOA(295, 53, F2, 2, 48) (dual of [(53, 2), 11, 49]-NRT-code) | [i] | ||
| 9 | Linear OOA(2102, 28, F2, 4, 55) (dual of [(28, 4), 10, 56]-NRT-code) | [i] | OOA Folding | |