Information on Result #686623
Linear OA(848, 262168, F8, 9) (dual of [262168, 262120, 10]-code), using construction XX applied to Ce(8) ⊂ Ce(4) ⊂ Ce(3) based on
- linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(825, 262144, F8, 5) (dual of [262144, 262119, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(819, 262144, F8, 4) (dual of [262144, 262125, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(84, 23, F8, 3) (dual of [23, 19, 4]-code or 23-cap in PG(3,8)), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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(848, 262168, F8, 2, 9) (dual of [(262168, 2), 524288, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(848, 262168, F8, 3, 9) (dual of [(262168, 3), 786456, 10]-NRT-code) | [i] | ||
| 3 | Digital (39, 48, 262168)-net over F8 | [i] | ||
| 4 | Linear OOA(848, 131084, F8, 2, 9) (dual of [(131084, 2), 262120, 10]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(848, 87389, F8, 3, 9) (dual of [(87389, 3), 262119, 10]-NRT-code) | [i] | ||