Information on Result #686472
Linear OA(8135, 262153, F8, 26) (dual of [262153, 262018, 27]-code), using construction X applied to Ce(25) ⊂ Ce(22) based on
- linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8121, 262144, F8, 23) (dual of [262144, 262023, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(8135, 154339, F8, 2, 26) (dual of [(154339, 2), 308543, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8135, 154339, F8, 3, 26) (dual of [(154339, 3), 462882, 27]-NRT-code) | [i] | ||
| 3 | Digital (109, 135, 154339)-net over F8 | [i] | ||
| 4 | Linear OOA(8135, 87384, F8, 3, 26) (dual of [(87384, 3), 262017, 27]-NRT-code) | [i] | OOA Folding | |