Information on Result #686788
Linear OA(857, 32779, F8, 13) (dual of [32779, 32722, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(856, 32768, F8, 13) (dual of [32768, 32712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(846, 32768, F8, 11) (dual of [32768, 32722, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(857, 27757, F8, 2, 13) (dual of [(27757, 2), 55457, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(857, 27757, F8, 3, 13) (dual of [(27757, 3), 83214, 14]-NRT-code) | [i] | ||
| 3 | Digital (44, 57, 27757)-net over F8 | [i] | ||
| 4 | Linear OOA(857, 16389, F8, 2, 13) (dual of [(16389, 2), 32721, 14]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(857, 10926, F8, 3, 13) (dual of [(10926, 3), 32721, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(857, 5463, F8, 13, 13) (dual of [(5463, 13), 70962, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |