Information on Result #686286
Linear OA(8159, 2097177, F8, 26) (dual of [2097177, 2097018, 27]-code), using construction X applied to Ce(25) ⊂ Ce(21) based on
- linear OA(8155, 2097152, F8, 26) (dual of [2097152, 2096997, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8134, 2097152, F8, 22) (dual of [2097152, 2097018, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(84, 25, F8, 3) (dual of [25, 21, 4]-code or 25-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(8159, 1234815, F8, 2, 26) (dual of [(1234815, 2), 2469471, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8159, 1234815, F8, 3, 26) (dual of [(1234815, 3), 3704286, 27]-NRT-code) | [i] | ||
| 3 | Digital (133, 159, 1234815)-net over F8 | [i] | ||
| 4 | Linear OOA(8159, 1048588, F8, 2, 26) (dual of [(1048588, 2), 2097017, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8159, 699059, F8, 3, 26) (dual of [(699059, 3), 2097018, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(8159, 161321, F8, 26, 26) (dual of [(161321, 26), 4194187, 27]-NRT-code) | [i] | OA Folding and Stacking | |