Information on Result #687227
Linear OA(892, 4107, F8, 26) (dual of [4107, 4015, 27]-code), using construction X applied to Ce(25) ⊂ Ce(22) based on
- linear OA(889, 4096, F8, 26) (dual of [4096, 4007, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(881, 4096, F8, 23) (dual of [4096, 4015, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(83, 11, F8, 2) (dual of [11, 8, 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(892, 3705, F8, 2, 26) (dual of [(3705, 2), 7318, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(892, 3705, F8, 3, 26) (dual of [(3705, 3), 11023, 27]-NRT-code) | [i] | ||
| 3 | Digital (66, 92, 3705)-net over F8 | [i] | ||
| 4 | Linear OOA(892, 2053, F8, 2, 26) (dual of [(2053, 2), 4014, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(892, 1369, F8, 3, 26) (dual of [(1369, 3), 4015, 27]-NRT-code) | [i] | ||