Information on Result #686512
Linear OA(876, 262165, F8, 14) (dual of [262165, 262089, 15]-code), using construction X applied to Ce(13) ⊂ Ce(10) based on
- linear OA(873, 262144, F8, 14) (dual of [262144, 262071, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(855, 262144, F8, 11) (dual of [262144, 262089, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(83, 21, F8, 2) (dual of [21, 18, 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(876, 262165, F8, 2, 14) (dual of [(262165, 2), 524254, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(876, 262165, F8, 3, 14) (dual of [(262165, 3), 786419, 15]-NRT-code) | [i] | ||
| 3 | Digital (62, 76, 262165)-net over F8 | [i] | ||
| 4 | Linear OOA(876, 131082, F8, 2, 14) (dual of [(131082, 2), 262088, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(876, 87388, F8, 3, 14) (dual of [(87388, 3), 262088, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(876, 37452, F8, 14, 14) (dual of [(37452, 14), 524252, 15]-NRT-code) | [i] | OA Folding and Stacking | |