Information on Result #687013
Linear OA(8111, 32794, F8, 24) (dual of [32794, 32683, 25]-code), using construction XX applied to Ce(24) ⊂ Ce(19) ⊂ Ce(18) based on
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(886, 32768, F8, 20) (dual of [32768, 32682, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(881, 32768, F8, 19) (dual of [32768, 32687, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(8111, 32794, F8, 2, 24) (dual of [(32794, 2), 65477, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8111, 32794, F8, 3, 24) (dual of [(32794, 3), 98271, 25]-NRT-code) | [i] | ||
| 3 | Digital (87, 111, 32794)-net over F8 | [i] | ||
| 4 | Linear OOA(8111, 16397, F8, 2, 24) (dual of [(16397, 2), 32683, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8111, 10931, F8, 3, 24) (dual of [(10931, 3), 32682, 25]-NRT-code) | [i] | ||