Information on Result #687239
Linear OA(846, 4105, F8, 13) (dual of [4105, 4059, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(845, 4096, F8, 13) (dual of [4096, 4051, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(837, 4096, F8, 11) (dual of [4096, 4059, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(81, 9, F8, 1) (dual of [9, 8, 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(846, 3464, F8, 2, 13) (dual of [(3464, 2), 6882, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(846, 3464, F8, 3, 13) (dual of [(3464, 3), 10346, 14]-NRT-code) | [i] | ||
| 3 | Digital (33, 46, 3464)-net over F8 | [i] | ||
| 4 | Linear OOA(846, 2052, F8, 2, 13) (dual of [(2052, 2), 4058, 14]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(846, 1368, F8, 3, 13) (dual of [(1368, 3), 4058, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(846, 684, F8, 13, 13) (dual of [(684, 13), 8846, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |