Information on Result #2251801
Linear OA(8127, 262150, F8, 24) (dual of [262150, 262023, 25]-code), using 1 times truncation based on linear OA(8128, 262151, F8, 25) (dual of [262151, 262023, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] 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(8121, 262144, F8, 23) (dual of [262144, 262023, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(81, 7, F8, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-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(8127, 192295, F8, 2, 24) (dual of [(192295, 2), 384463, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8127, 192295, F8, 3, 24) (dual of [(192295, 3), 576758, 25]-NRT-code) | [i] | ||
| 3 | Digital (103, 127, 192295)-net over F8 | [i] | ||
| 4 | Linear OOA(8127, 131075, F8, 2, 24) (dual of [(131075, 2), 262023, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8127, 87383, F8, 3, 24) (dual of [(87383, 3), 262022, 25]-NRT-code) | [i] | ||