Information on Result #686790
Linear OA(847, 32779, F8, 11) (dual of [32779, 32732, 12]-code), using construction X applied to Ce(10) ⊂ Ce(8) based on
- 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(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(847, 24455, F8, 2, 11) (dual of [(24455, 2), 48863, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(847, 24455, F8, 3, 11) (dual of [(24455, 3), 73318, 12]-NRT-code) | [i] | ||
| 3 | Digital (36, 47, 24455)-net over F8 | [i] | ||
| 4 | Linear OOA(847, 10926, F8, 3, 11) (dual of [(10926, 3), 32731, 12]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(847, 6555, F8, 11, 11) (dual of [(6555, 11), 72058, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |