Information on Result #807106
Linear OOA(2117, 255, F2, 2, 26) (dual of [(255, 2), 393, 27]-NRT-code), using OOA 2-folding based on linear OA(2117, 510, F2, 26) (dual of [510, 393, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2117, 511, F2, 26) (dual of [511, 394, 27]-code), using
- the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
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(2117, 255, F2, 3, 26) (dual of [(255, 3), 648, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2117, 255, F2, 4, 26) (dual of [(255, 4), 903, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(2117, 255, F2, 5, 26) (dual of [(255, 5), 1158, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(2117, 255, F2, 6, 26) (dual of [(255, 6), 1413, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(2117, 255, F2, 7, 26) (dual of [(255, 7), 1668, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(2117, 255, F2, 8, 26) (dual of [(255, 8), 1923, 27]-NRT-code) | [i] | ||
| 7 | Digital (91, 117, 255)-net over F2 | [i] | ||