Information on Result #686778
Linear OA(8109, 32781, F8, 25) (dual of [32781, 32672, 26]-code), using construction X applied to Ce(24) ⊂ Ce(21) based on
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(896, 32768, F8, 22) (dual of [32768, 32672, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(83, 13, F8, 2) (dual of [13, 10, 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(8109, 23426, F8, 2, 25) (dual of [(23426, 2), 46743, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8109, 23426, F8, 3, 25) (dual of [(23426, 3), 70169, 26]-NRT-code) | [i] | ||
| 3 | Digital (84, 109, 23426)-net over F8 | [i] | ||
| 4 | Linear OOA(8109, 16390, F8, 2, 25) (dual of [(16390, 2), 32671, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8109, 10927, F8, 3, 25) (dual of [(10927, 3), 32672, 26]-NRT-code) | [i] | ||