Information on Result #686777
Linear OA(8108, 32777, F8, 25) (dual of [32777, 32669, 26]-code), using construction X applied to Ce(24) ⊂ Ce(21) based on
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(896, 32768, F8, 22) (dual of [32768, 32672, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
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(8108, 21400, F8, 2, 25) (dual of [(21400, 2), 42692, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8108, 21400, F8, 3, 25) (dual of [(21400, 3), 64092, 26]-NRT-code) | [i] | ||
| 3 | Digital (83, 108, 21400)-net over F8 | [i] | ||
| 4 | Linear OOA(8108, 16388, F8, 2, 25) (dual of [(16388, 2), 32668, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8108, 10925, F8, 3, 25) (dual of [(10925, 3), 32667, 26]-NRT-code) | [i] | ||