Information on Result #2281406
Linear OA(8112, 32774, F8, 26) (dual of [32774, 32662, 27]-code), using 1 times code embedding in larger space based on linear OA(8111, 32773, F8, 26) (dual of [32773, 32662, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(8111, 32768, F8, 26) (dual of [32768, 32657, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(8112, 21026, F8, 2, 26) (dual of [(21026, 2), 41940, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8112, 21026, F8, 3, 26) (dual of [(21026, 3), 62966, 27]-NRT-code) | [i] | ||
| 3 | Digital (86, 112, 21026)-net over F8 | [i] | ||
| 4 | Linear OOA(8112, 16387, F8, 2, 26) (dual of [(16387, 2), 32662, 27]-NRT-code) | [i] | OOA Folding | |