Information on Result #686492
Linear OA(851, 262153, F8, 10) (dual of [262153, 262102, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
- linear OA(849, 262144, F8, 10) (dual of [262144, 262095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(837, 262144, F8, 7) (dual of [262144, 262107, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(851, 237081, F8, 2, 10) (dual of [(237081, 2), 474111, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(851, 237081, F8, 3, 10) (dual of [(237081, 3), 711192, 11]-NRT-code) | [i] | ||
| 3 | Digital (41, 51, 237081)-net over F8 | [i] | ||
| 4 | Linear OOA(851, 87384, F8, 3, 10) (dual of [(87384, 3), 262101, 11]-NRT-code) | [i] | OOA Folding | |