Information on Result #688129
Linear OA(836, 521, F8, 13) (dual of [521, 485, 14]-code), using construction X applied to Ce(12) ⊂ Ce(9) based on
- linear OA(834, 512, F8, 13) (dual of [512, 478, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(825, 512, F8, 10) (dual of [512, 487, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [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(836, 518, F8, 2, 13) (dual of [(518, 2), 1000, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(836, 518, F8, 3, 13) (dual of [(518, 3), 1518, 14]-NRT-code) | [i] | ||
| 3 | Digital (23, 36, 518)-net over F8 | [i] | ||