Information on Result #687240
Linear OA(842, 4105, F8, 12) (dual of [4105, 4063, 13]-code), using construction X applied to Ce(11) ⊂ Ce(9) based on
- linear OA(841, 4096, F8, 12) (dual of [4096, 4055, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(833, 4096, F8, 10) (dual of [4096, 4063, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(842, 3257, F8, 2, 12) (dual of [(3257, 2), 6472, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(842, 3257, F8, 3, 12) (dual of [(3257, 3), 9729, 13]-NRT-code) | [i] | ||
| 3 | Digital (30, 42, 3257)-net over F8 | [i] | ||
| 4 | Linear OOA(842, 2052, F8, 2, 12) (dual of [(2052, 2), 4062, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(842, 1368, F8, 3, 12) (dual of [(1368, 3), 4062, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(842, 684, F8, 12, 12) (dual of [(684, 12), 8166, 13]-NRT-code) | [i] | OA Folding and Stacking | |