Information on Result #2255008
Linear OA(16109, 253, F16, 65) (dual of [253, 144, 66]-code), using 4 times truncation based on linear OA(16113, 257, F16, 69) (dual of [257, 144, 70]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,34], and minimum distance d ≥ |{−34,−33,…,34}|+1 = 70 (BCH-bound) [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 OA(4218, 506, F4, 65) (dual of [506, 288, 66]-code) | [i] | Trace Code | |
| 2 | Linear OA(16114, 265, F16, 65) (dual of [265, 151, 66]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(16115, 273, F16, 65) (dual of [273, 158, 66]-code) | [i] | ||
| 4 | Linear OA(16112, 257, F16, 65) (dual of [257, 145, 66]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(16109, 126, F16, 2, 65) (dual of [(126, 2), 143, 66]-NRT-code) | [i] | OOA Folding | |