Information on Result #687235
Linear OA(858, 4105, F8, 16) (dual of [4105, 4047, 17]-code), using construction X applied to Ce(16) ⊂ Ce(13) based on
- linear OA(857, 4096, F8, 17) (dual of [4096, 4039, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(849, 4096, F8, 14) (dual of [4096, 4047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(858, 4096, F8, 2, 16) (dual of [(4096, 2), 8134, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(858, 4096, F8, 3, 16) (dual of [(4096, 3), 12230, 17]-NRT-code) | [i] | ||
| 3 | Digital (42, 58, 4096)-net over F8 | [i] | ||
| 4 | Linear OOA(858, 2052, F8, 2, 16) (dual of [(2052, 2), 4046, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(858, 1368, F8, 3, 16) (dual of [(1368, 3), 4046, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(858, 513, F8, 16, 16) (dual of [(513, 16), 8150, 17]-NRT-code) | [i] | OA Folding and Stacking | |