Information on Result #686347
Linear OA(8106, 2097201, F8, 16) (dual of [2097201, 2097095, 17]-code), using construction X applied to Ce(16) ⊂ Ce(9) based on
- linear OA(899, 2097152, F8, 17) (dual of [2097152, 2097053, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(857, 2097152, F8, 10) (dual of [2097152, 2097095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(87, 49, F8, 5) (dual of [49, 42, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), 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 OA(8107, 2097202, F8, 16) (dual of [2097202, 2097095, 17]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8108, 2097203, F8, 16) (dual of [2097203, 2097095, 17]-code) | [i] | ||
| 3 | Linear OOA(8106, 1048600, F8, 2, 16) (dual of [(1048600, 2), 2097094, 17]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(8106, 699067, F8, 3, 16) (dual of [(699067, 3), 2097095, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(8106, 262150, F8, 16, 16) (dual of [(262150, 16), 4194294, 17]-NRT-code) | [i] | OA Folding and Stacking | |