Information on Result #686309
Linear OA(8152, 2097184, F8, 24) (dual of [2097184, 2097032, 25]-code), using construction X applied to Ce(24) ⊂ Ce(19) 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(8120, 2097152, F8, 20) (dual of [2097152, 2097032, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(84, 32, F8, 3) (dual of [32, 28, 4]-code or 32-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(8152, 2042836, F8, 2, 24) (dual of [(2042836, 2), 4085520, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8152, 2042836, F8, 3, 24) (dual of [(2042836, 3), 6128356, 25]-NRT-code) | [i] | ||
| 3 | Digital (128, 152, 2042836)-net over F8 | [i] | ||
| 4 | Linear OA(8153, 2097186, F8, 24) (dual of [2097186, 2097033, 25]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(8152, 1048592, F8, 2, 24) (dual of [(1048592, 2), 2097032, 25]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(8152, 699061, F8, 3, 24) (dual of [(699061, 3), 2097031, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(8152, 174765, F8, 24, 24) (dual of [(174765, 24), 4194208, 25]-NRT-code) | [i] | OA Folding and Stacking | |