Information on Result #686475
Linear OA(8129, 262153, F8, 25) (dual of [262153, 262024, 26]-code), using construction X applied to Ce(24) ⊂ Ce(21) based on
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8115, 262144, F8, 22) (dual of [262144, 262029, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(8129, 142958, F8, 2, 25) (dual of [(142958, 2), 285787, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8129, 142958, F8, 3, 25) (dual of [(142958, 3), 428745, 26]-NRT-code) | [i] | ||
| 3 | Digital (104, 129, 142958)-net over F8 | [i] | ||
| 4 | Linear OOA(8129, 131076, F8, 2, 25) (dual of [(131076, 2), 262023, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8129, 87384, F8, 3, 25) (dual of [(87384, 3), 262023, 26]-NRT-code) | [i] | ||
| 6 | Linear OOA(8129, 21846, F8, 25, 25) (dual of [(21846, 25), 546021, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |