Information on Result #687003
Linear OA(8136, 32794, F8, 30) (dual of [32794, 32658, 31]-code), using construction XX applied to Ce(29) ⊂ Ce(25) ⊂ Ce(24) based on
- linear OA(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(8111, 32768, F8, 26) (dual of [32768, 32657, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(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(8136, 32794, F8, 2, 30) (dual of [(32794, 2), 65452, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8136, 32794, F8, 3, 30) (dual of [(32794, 3), 98246, 31]-NRT-code) | [i] | ||
| 3 | Digital (106, 136, 32794)-net over F8 | [i] | ||
| 4 | Linear OOA(8136, 16397, F8, 2, 30) (dual of [(16397, 2), 32658, 31]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8136, 10931, F8, 3, 30) (dual of [(10931, 3), 32657, 31]-NRT-code) | [i] | ||