Information on Result #686287
Linear OA(8152, 2097177, F8, 25) (dual of [2097177, 2097025, 26]-code), using construction X applied to Ce(24) ⊂ Ce(20) based on
- linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8127, 2097152, F8, 21) (dual of [2097152, 2097025, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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 OA(8151, 2097176, F8, 24) (dual of [2097176, 2097025, 25]-code) | [i] | Truncation | |
| 2 | Linear OOA(8152, 1143760, F8, 2, 25) (dual of [(1143760, 2), 2287368, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(8152, 1143760, F8, 3, 25) (dual of [(1143760, 3), 3431128, 26]-NRT-code) | [i] | ||
| 4 | Digital (127, 152, 1143760)-net over F8 | [i] | ||
| 5 | Linear OOA(8152, 1048588, F8, 2, 25) (dual of [(1048588, 2), 2097024, 26]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(8152, 699059, F8, 3, 25) (dual of [(699059, 3), 2097025, 26]-NRT-code) | [i] | ||