Information on Result #687026
Linear OA(866, 32794, F8, 14) (dual of [32794, 32728, 15]-code), using construction XX applied to Ce(13) ⊂ Ce(9) ⊂ Ce(8) based on
- linear OA(861, 32768, F8, 14) (dual of [32768, 32707, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(841, 32768, F8, 10) (dual of [32768, 32727, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(84, 25, F8, 3) (dual of [25, 21, 4]-code or 25-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(866, 32794, F8, 2, 14) (dual of [(32794, 2), 65522, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(866, 32794, F8, 3, 14) (dual of [(32794, 3), 98316, 15]-NRT-code) | [i] | ||
| 3 | Digital (52, 66, 32794)-net over F8 | [i] | ||
| 4 | Linear OOA(866, 16397, F8, 2, 14) (dual of [(16397, 2), 32728, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(866, 10931, F8, 3, 14) (dual of [(10931, 3), 32727, 15]-NRT-code) | [i] | ||