Information on Result #686285
Linear OA(8166, 2097177, F8, 27) (dual of [2097177, 2097011, 28]-code), using construction X applied to Ce(26) ⊂ Ce(22) based on
- linear OA(8162, 2097152, F8, 27) (dual of [2097152, 2096990, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(8141, 2097152, F8, 23) (dual of [2097152, 2097011, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(8166, 1327140, F8, 2, 27) (dual of [(1327140, 2), 2654114, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8166, 1327140, F8, 3, 27) (dual of [(1327140, 3), 3981254, 28]-NRT-code) | [i] | ||
| 3 | Digital (139, 166, 1327140)-net over F8 | [i] | ||
| 4 | Linear OOA(8166, 1048588, F8, 2, 27) (dual of [(1048588, 2), 2097010, 28]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8166, 699059, F8, 3, 27) (dual of [(699059, 3), 2097011, 28]-NRT-code) | [i] | ||
| 6 | Linear OOA(8166, 161321, F8, 27, 27) (dual of [(161321, 27), 4355501, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |