Information on Result #686476
Linear OA(8130, 262159, F8, 25) (dual of [262159, 262029, 26]-code), using construction X applied to Ce(24) ⊂ Ce(21) based on
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8115, 262144, F8, 22) (dual of [262144, 262029, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(83, 15, F8, 2) (dual of [15, 12, 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(8130, 156487, F8, 2, 25) (dual of [(156487, 2), 312844, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8130, 156487, F8, 3, 25) (dual of [(156487, 3), 469331, 26]-NRT-code) | [i] | ||
| 3 | Digital (105, 130, 156487)-net over F8 | [i] | ||
| 4 | Linear OOA(8130, 131079, F8, 2, 25) (dual of [(131079, 2), 262028, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8130, 87386, F8, 3, 25) (dual of [(87386, 3), 262028, 26]-NRT-code) | [i] | ||