Information on Result #2245967
Linear OA(546, 312, F5, 15) (dual of [312, 266, 16]-code), using 1 times truncation based on linear OA(547, 313, F5, 16) (dual of [313, 266, 17]-code), using
- an extension Ce(15) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(546, 312, F5, 2, 15) (dual of [(312, 2), 578, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(546, 312, F5, 3, 15) (dual of [(312, 3), 890, 16]-NRT-code) | [i] | ||
| 3 | Digital (31, 46, 312)-net over F5 | [i] | ||
| 4 | Linear OA(547, 344, F5, 15) (dual of [344, 297, 16]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OOA(546, 156, F5, 2, 15) (dual of [(156, 2), 266, 16]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(546, 104, F5, 3, 15) (dual of [(104, 3), 266, 16]-NRT-code) | [i] | ||