Information on Result #686465
Linear OA(8171, 262153, F8, 33) (dual of [262153, 261982, 34]-code), using construction X applied to Ce(32) ⊂ Ce(29) based on
- linear OA(8169, 262144, F8, 33) (dual of [262144, 261975, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8157, 262144, F8, 30) (dual of [262144, 261987, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(8171, 158969, F8, 2, 33) (dual of [(158969, 2), 317767, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8171, 158969, F8, 3, 33) (dual of [(158969, 3), 476736, 34]-NRT-code) | [i] | ||
| 3 | Digital (138, 171, 158969)-net over F8 | [i] | ||
| 4 | Linear OOA(8171, 131076, F8, 2, 33) (dual of [(131076, 2), 261981, 34]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8171, 87384, F8, 3, 33) (dual of [(87384, 3), 261981, 34]-NRT-code) | [i] | ||