Information on Result #663057
Linear OA(590, 1953138, F5, 12) (dual of [1953138, 1953048, 13]-code), using (u, u+v)-construction based on
- linear OA(58, 13, F5, 6) (dual of [13, 5, 7]-code), using
- an extension Ce(5) of the narrow-sense BCH-code C(I) with length 12 | 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- the narrow-sense BCH-code C(I) with length 13 | 54−1, defining interval I = [1,3], and minimum distance d ≥ |{−5,−3,−1,…,5}|+1 = 7 (BCH-bound) [i]
- linear OA(582, 1953125, F5, 12) (dual of [1953125, 1953043, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(590, 1882556, F5, 2, 12) (dual of [(1882556, 2), 3765022, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(590, 1882556, F5, 3, 12) (dual of [(1882556, 3), 5647578, 13]-NRT-code) | [i] | ||
| 3 | Digital (78, 90, 1882556)-net over F5 | [i] | ||