Information on Result #687018
Linear OA(886, 32789, F8, 19) (dual of [32789, 32703, 20]-code), using construction XX applied to Ce(18) ⊂ Ce(14) ⊂ Ce(13) based on
- 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(866, 32768, F8, 15) (dual of [32768, 32702, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 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(84, 20, F8, 3) (dual of [20, 16, 4]-code or 20-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(886, 32789, F8, 2, 19) (dual of [(32789, 2), 65492, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(886, 32789, F8, 3, 19) (dual of [(32789, 3), 98281, 20]-NRT-code) | [i] | ||
| 3 | Digital (67, 86, 32789)-net over F8 | [i] | ||
| 4 | Linear OOA(886, 16394, F8, 2, 19) (dual of [(16394, 2), 32702, 20]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(886, 3643, F8, 19, 19) (dual of [(3643, 19), 69131, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |