Information on Result #2251832
Linear OA(8148, 2097159, F8, 24) (dual of [2097159, 2097011, 25]-code), using 1 times truncation based on linear OA(8149, 2097160, F8, 25) (dual of [2097160, 2097011, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8141, 2097152, F8, 23) (dual of [2097152, 2097011, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(81, 8, F8, 1) (dual of [8, 7, 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(8148, 1399697, F8, 2, 24) (dual of [(1399697, 2), 2799246, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8148, 1399697, F8, 3, 24) (dual of [(1399697, 3), 4198943, 25]-NRT-code) | [i] | ||
| 3 | Digital (124, 148, 1399697)-net over F8 | [i] | ||
| 4 | Linear OOA(8148, 1048579, F8, 2, 24) (dual of [(1048579, 2), 2097010, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8148, 699053, F8, 3, 24) (dual of [(699053, 3), 2097011, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(8148, 174763, F8, 24, 24) (dual of [(174763, 24), 4194164, 25]-NRT-code) | [i] | OA Folding and Stacking | |