Information on Result #1028470
Linear OOA(2125, 51, F2, 3, 65) (dual of [(51, 3), 28, 66]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1610, 17, F16, 10) (dual of [17, 7, 11]-code or 17-arc in PG(9,16)), using
- extended Reed–Solomon code RSe(7,16) [i]
- linear OOA(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [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(2125, 51, F2, 3, 64) (dual of [(51, 3), 28, 65]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2125, 51, F2, 3, 63) (dual of [(51, 3), 28, 64]-NRT-code) | [i] | ||
| 3 | Linear OOA(2125, 51, F2, 3, 62) (dual of [(51, 3), 28, 63]-NRT-code) | [i] | ||
| 4 | Linear OOA(2128, 52, F2, 3, 65) (dual of [(52, 3), 28, 66]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2131, 53, F2, 3, 65) (dual of [(53, 3), 28, 66]-NRT-code) | [i] | ||
| 6 | Linear OOA(2126, 51, F2, 3, 65) (dual of [(51, 3), 27, 66]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2124, 50, F2, 3, 64) (dual of [(50, 3), 26, 65]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2125, 25, F2, 6, 65) (dual of [(25, 6), 25, 66]-NRT-code) | [i] | OOA Folding | |