Information on Result #686275
Linear OA(860, 2097169, F8, 10) (dual of [2097169, 2097109, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
- 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(843, 2097152, F8, 7) (dual of [2097152, 2097109, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(83, 17, F8, 2) (dual of [17, 14, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-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 OOA(860, 2097169, F8, 2, 10) (dual of [(2097169, 2), 4194278, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(860, 2097169, F8, 3, 10) (dual of [(2097169, 3), 6291447, 11]-NRT-code) | [i] | ||
| 3 | Digital (50, 60, 2097169)-net over F8 | [i] | ||
| 4 | Linear OOA(860, 1048584, F8, 2, 10) (dual of [(1048584, 2), 2097108, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(860, 699056, F8, 3, 10) (dual of [(699056, 3), 2097108, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(860, 419433, F8, 10, 10) (dual of [(419433, 10), 4194270, 11]-NRT-code) | [i] | OA Folding and Stacking | |