Information on Result #686813
Linear OA(8120, 32787, F8, 27) (dual of [32787, 32667, 28]-code), using construction X applied to Ce(26) ⊂ Ce(22) based on
- linear OA(8116, 32768, F8, 27) (dual of [32768, 32652, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(8101, 32768, F8, 23) (dual of [32768, 32667, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(84, 19, F8, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,8)), using
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(8120, 28907, F8, 2, 27) (dual of [(28907, 2), 57694, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8120, 28907, F8, 3, 27) (dual of [(28907, 3), 86601, 28]-NRT-code) | [i] | ||
| 3 | Digital (93, 120, 28907)-net over F8 | [i] | ||
| 4 | Linear OOA(8120, 16393, F8, 2, 27) (dual of [(16393, 2), 32666, 28]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8120, 10929, F8, 3, 27) (dual of [(10929, 3), 32667, 28]-NRT-code) | [i] | ||
| 6 | Linear OOA(8120, 2522, F8, 27, 27) (dual of [(2522, 27), 67974, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |