Information on Result #686479
Linear OA(893, 262153, F8, 18) (dual of [262153, 262060, 19]-code), using construction X applied to Ce(17) ⊂ Ce(14) based on
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(879, 262144, F8, 15) (dual of [262144, 262065, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(893, 151419, F8, 2, 18) (dual of [(151419, 2), 302745, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(893, 151419, F8, 3, 18) (dual of [(151419, 3), 454164, 19]-NRT-code) | [i] | ||
| 3 | Digital (75, 93, 151419)-net over F8 | [i] | ||
| 4 | Linear OOA(893, 87384, F8, 3, 18) (dual of [(87384, 3), 262059, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(893, 29128, F8, 18, 18) (dual of [(29128, 18), 524211, 19]-NRT-code) | [i] | OA Folding and Stacking | |