Information on Result #686772
Linear OA(8122, 32779, F8, 28) (dual of [32779, 32657, 29]-code), using construction X applied to Ce(27) ⊂ Ce(25) based on
- linear OA(8121, 32768, F8, 28) (dual of [32768, 32647, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 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(81, 11, F8, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-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(8122, 24030, F8, 2, 28) (dual of [(24030, 2), 47938, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8122, 24030, F8, 3, 28) (dual of [(24030, 3), 71968, 29]-NRT-code) | [i] | ||
| 3 | Digital (94, 122, 24030)-net over F8 | [i] | ||
| 4 | Linear OOA(8122, 16389, F8, 2, 28) (dual of [(16389, 2), 32656, 29]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8122, 10926, F8, 3, 28) (dual of [(10926, 3), 32656, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(8122, 2341, F8, 28, 28) (dual of [(2341, 28), 65426, 29]-NRT-code) | [i] | OA Folding and Stacking | |