Information on Result #844831
Linear OOA(8133, 131075, F8, 2, 26) (dual of [(131075, 2), 262017, 27]-NRT-code), using OOA 2-folding based on linear OA(8133, 262150, F8, 26) (dual of [262150, 262017, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(80, 6, F8, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(8135, 131076, F8, 2, 26) (dual of [(131076, 2), 262017, 27]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8134, 131075, F8, 2, 26) (dual of [(131075, 2), 262016, 27]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(8133, 131075, F8, 3, 26) (dual of [(131075, 3), 393092, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (107, 133, 131075)-net over F8 | [i] | ||