Information on Result #738447
Linear OA(519, 56, F5, 9) (dual of [56, 37, 10]-code), using (u, u+v)-construction based on
- linear OA(56, 28, F5, 4) (dual of [28, 22, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- linear OA(513, 28, F5, 9) (dual of [28, 15, 10]-code), using
- 2 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- 2 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5150, 3182, F5, 33) (dual of [3182, 3032, 34]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(5140, 3182, F5, 31) (dual of [3182, 3042, 32]-code) | [i] | ||
| 3 | Linear OA(5145, 3181, F5, 32) (dual of [3181, 3036, 33]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(5135, 3181, F5, 29) (dual of [3181, 3046, 30]-code) | [i] | ||
| 5 | Linear OA(5130, 3181, F5, 28) (dual of [3181, 3051, 29]-code) | [i] | ||
| 6 | Linear OA(5125, 3181, F5, 27) (dual of [3181, 3056, 28]-code) | [i] | ||
| 7 | Linear OOA(519, 28, F5, 2, 9) (dual of [(28, 2), 37, 10]-NRT-code) | [i] | OOA Folding | |